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Finding the Third Proportional to 61,840 and 93,940

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Solution

The third proportional to 61,840 and 93,940 is: 142,702.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,840 : 93,940 = 93,940 : x
  2. Step 2: Convert to fraction form
    61,840/93,940 = 93,940/x
  3. Step 3: Cross multiply
    61,840x = 93,940 × 93,940
  4. Step 4: Simplify right side
    61,840x = 8,824,723,600
  5. Step 5: Solve for x
    x = 8,824,723,600/61,840
  6. Step 6: Final answer
    x = 142,702.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.