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Finding the Third Proportional to 56,938 and 124,554

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Solution

The third proportional to 56,938 and 124,554 is: 272,466.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,938 : 124,554 = 124,554 : x
  2. Step 2: Convert to fraction form
    56,938/124,554 = 124,554/x
  3. Step 3: Cross multiply
    56,938x = 124,554 × 124,554
  4. Step 4: Simplify right side
    56,938x = 15,513,698,916
  5. Step 5: Solve for x
    x = 15,513,698,916/56,938
  6. Step 6: Final answer
    x = 272,466.52

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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.