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Finding the Third Proportional to 61,744 and 92,209

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Solution

The third proportional to 61,744 and 92,209 is: 137,705.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,744 : 92,209 = 92,209 : x
  2. Step 2: Convert to fraction form
    61,744/92,209 = 92,209/x
  3. Step 3: Cross multiply
    61,744x = 92,209 × 92,209
  4. Step 4: Simplify right side
    61,744x = 8,502,499,681
  5. Step 5: Solve for x
    x = 8,502,499,681/61,744
  6. Step 6: Final answer
    x = 137,705.68

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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.