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Finding the Third Proportional to 65,663 and 100,134

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Solution

The third proportional to 65,663 and 100,134 is: 152,701.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,663 : 100,134 = 100,134 : x
  2. Step 2: Convert to fraction form
    65,663/100,134 = 100,134/x
  3. Step 3: Cross multiply
    65,663x = 100,134 × 100,134
  4. Step 4: Simplify right side
    65,663x = 10,026,817,956
  5. Step 5: Solve for x
    x = 10,026,817,956/65,663
  6. Step 6: Final answer
    x = 152,701.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.