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Finding the Third Proportional to 61,452 and 92,610

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Solution

The third proportional to 61,452 and 92,610 is: 139,566.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,452 : 92,610 = 92,610 : x
  2. Step 2: Convert to fraction form
    61,452/92,610 = 92,610/x
  3. Step 3: Cross multiply
    61,452x = 92,610 × 92,610
  4. Step 4: Simplify right side
    61,452x = 8,576,612,100
  5. Step 5: Solve for x
    x = 8,576,612,100/61,452
  6. Step 6: Final answer
    x = 139,566.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.