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Finding the Third Proportional to 61,354.13 and 82,869.75

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Solution

The third proportional to 61,354.13 and 82,869.75 is: 111,930.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,354.13 : 82,869.75 = 82,869.75 : x
  2. Step 2: Convert to fraction form
    61,354.13/82,869.75 = 82,869.75/x
  3. Step 3: Cross multiply
    61,354.13x = 82,869.75 × 82,869.75
  4. Step 4: Simplify right side
    61,354.13x = 6,867,395,465.06
  5. Step 5: Solve for x
    x = 6,867,395,465.06/61,354.13
  6. Step 6: Final answer
    x = 111,930.46

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.