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Finding the Third Proportional to 57,688 and 124,592

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Solution

The third proportional to 57,688 and 124,592 is: 269,088.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,688 : 124,592 = 124,592 : x
  2. Step 2: Convert to fraction form
    57,688/124,592 = 124,592/x
  3. Step 3: Cross multiply
    57,688x = 124,592 × 124,592
  4. Step 4: Simplify right side
    57,688x = 15,523,166,464
  5. Step 5: Solve for x
    x = 15,523,166,464/57,688
  6. Step 6: Final answer
    x = 269,088.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.