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Finding the Third Proportional to 53,122.50 and 116,100

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Solution

The third proportional to 53,122.50 and 116,100 is: 253,738.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,122.50 : 116,100 = 116,100 : x
  2. Step 2: Convert to fraction form
    53,122.50/116,100 = 116,100/x
  3. Step 3: Cross multiply
    53,122.50x = 116,100 × 116,100
  4. Step 4: Simplify right side
    53,122.50x = 13,479,210,000
  5. Step 5: Solve for x
    x = 13,479,210,000/53,122.50
  6. Step 6: Final answer
    x = 253,738.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.