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Finding the Third Proportional to 112,270.50 and 171,681.75

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Solution

The third proportional to 112,270.50 and 171,681.75 is: 262,532.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,270.50 : 171,681.75 = 171,681.75 : x
  2. Step 2: Convert to fraction form
    112,270.50/171,681.75 = 171,681.75/x
  3. Step 3: Cross multiply
    112,270.50x = 171,681.75 × 171,681.75
  4. Step 4: Simplify right side
    112,270.50x = 29,474,623,283.06
  5. Step 5: Solve for x
    x = 29,474,623,283.06/112,270.50
  6. Step 6: Final answer
    x = 262,532.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.