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Finding the Third Proportional to 49,147 and 74,132

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Solution

The third proportional to 49,147 and 74,132 is: 111,818.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,147 : 74,132 = 74,132 : x
  2. Step 2: Convert to fraction form
    49,147/74,132 = 74,132/x
  3. Step 3: Cross multiply
    49,147x = 74,132 × 74,132
  4. Step 4: Simplify right side
    49,147x = 5,495,553,424
  5. Step 5: Solve for x
    x = 5,495,553,424/49,147
  6. Step 6: Final answer
    x = 111,818.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.