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Finding the Third Proportional to 105,988.50 and 159,210

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Solution

The third proportional to 105,988.50 and 159,210 is: 239,156.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,988.50 : 159,210 = 159,210 : x
  2. Step 2: Convert to fraction form
    105,988.50/159,210 = 159,210/x
  3. Step 3: Cross multiply
    105,988.50x = 159,210 × 159,210
  4. Step 4: Simplify right side
    105,988.50x = 25,347,824,100
  5. Step 5: Solve for x
    x = 25,347,824,100/105,988.50
  6. Step 6: Final answer
    x = 239,156.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.