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Finding the Third Proportional to 61,564 and 91,940

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Solution

The third proportional to 61,564 and 91,940 is: 137,303.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,564 : 91,940 = 91,940 : x
  2. Step 2: Convert to fraction form
    61,564/91,940 = 91,940/x
  3. Step 3: Cross multiply
    61,564x = 91,940 × 91,940
  4. Step 4: Simplify right side
    61,564x = 8,452,963,600
  5. Step 5: Solve for x
    x = 8,452,963,600/61,564
  6. Step 6: Final answer
    x = 137,303.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.