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Finding the Third Proportional to 55,176.19 and 74,517.47

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Solution

The third proportional to 55,176.19 and 74,517.47 is: 100,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,176.19 : 74,517.47 = 74,517.47 : x
  2. Step 2: Convert to fraction form
    55,176.19/74,517.47 = 74,517.47/x
  3. Step 3: Cross multiply
    55,176.19x = 74,517.47 × 74,517.47
  4. Step 4: Simplify right side
    55,176.19x = 5,552,853,148.91
  5. Step 5: Solve for x
    x = 5,552,853,148.91/55,176.19
  6. Step 6: Final answer
    x = 100,638.58

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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.