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Finding the Third Proportional to 57,689.50 and 125,220.25

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Solution

The third proportional to 57,689.50 and 125,220.25 is: 271,801.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,689.50 : 125,220.25 = 125,220.25 : x
  2. Step 2: Convert to fraction form
    57,689.50/125,220.25 = 125,220.25/x
  3. Step 3: Cross multiply
    57,689.50x = 125,220.25 × 125,220.25
  4. Step 4: Simplify right side
    57,689.50x = 15,680,111,010.06
  5. Step 5: Solve for x
    x = 15,680,111,010.06/57,689.50
  6. Step 6: Final answer
    x = 271,801.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.