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Finding the Third Proportional to 63,710 and 133,617

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Solution

The third proportional to 63,710 and 133,617 is: 280,230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,710 : 133,617 = 133,617 : x
  2. Step 2: Convert to fraction form
    63,710/133,617 = 133,617/x
  3. Step 3: Cross multiply
    63,710x = 133,617 × 133,617
  4. Step 4: Simplify right side
    63,710x = 17,853,502,689
  5. Step 5: Solve for x
    x = 17,853,502,689/63,710
  6. Step 6: Final answer
    x = 280,230.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.