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Finding the Third Proportional to 61,114.50 and 82,392.19

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Solution

The third proportional to 61,114.50 and 82,392.19 is: 111,077.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,114.50 : 82,392.19 = 82,392.19 : x
  2. Step 2: Convert to fraction form
    61,114.50/82,392.19 = 82,392.19/x
  3. Step 3: Cross multiply
    61,114.50x = 82,392.19 × 82,392.19
  4. Step 4: Simplify right side
    61,114.50x = 6,788,472,561.04
  5. Step 5: Solve for x
    x = 6,788,472,561.04/61,114.50
  6. Step 6: Final answer
    x = 111,077.94

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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.