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Finding the Third Proportional to 61,454.25 and 84,102.75

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Solution

The third proportional to 61,454.25 and 84,102.75 is: 115,098.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,454.25 : 84,102.75 = 84,102.75 : x
  2. Step 2: Convert to fraction form
    61,454.25/84,102.75 = 84,102.75/x
  3. Step 3: Cross multiply
    61,454.25x = 84,102.75 × 84,102.75
  4. Step 4: Simplify right side
    61,454.25x = 7,073,272,557.56
  5. Step 5: Solve for x
    x = 7,073,272,557.56/61,454.25
  6. Step 6: Final answer
    x = 115,098.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.