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Finding the Third Proportional to 61,406 and 91,730

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Solution

The third proportional to 61,406 and 91,730 is: 137,028.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,406 : 91,730 = 91,730 : x
  2. Step 2: Convert to fraction form
    61,406/91,730 = 91,730/x
  3. Step 3: Cross multiply
    61,406x = 91,730 × 91,730
  4. Step 4: Simplify right side
    61,406x = 8,414,392,900
  5. Step 5: Solve for x
    x = 8,414,392,900/61,406
  6. Step 6: Final answer
    x = 137,028.84

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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.