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Finding the Third Proportional to 61,655 and 92,491

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Solution

The third proportional to 61,655 and 92,491 is: 138,749.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,655 : 92,491 = 92,491 : x
  2. Step 2: Convert to fraction form
    61,655/92,491 = 92,491/x
  3. Step 3: Cross multiply
    61,655x = 92,491 × 92,491
  4. Step 4: Simplify right side
    61,655x = 8,554,585,081
  5. Step 5: Solve for x
    x = 8,554,585,081/61,655
  6. Step 6: Final answer
    x = 138,749.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.