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Finding the Third Proportional to 54,608 and 74,134

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Solution

The third proportional to 54,608 and 74,134 is: 100,641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,608 : 74,134 = 74,134 : x
  2. Step 2: Convert to fraction form
    54,608/74,134 = 74,134/x
  3. Step 3: Cross multiply
    54,608x = 74,134 × 74,134
  4. Step 4: Simplify right side
    54,608x = 5,495,849,956
  5. Step 5: Solve for x
    x = 5,495,849,956/54,608
  6. Step 6: Final answer
    x = 100,641.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.