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Finding the Third Proportional to 65,484 and 102,439

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Solution

The third proportional to 65,484 and 102,439 is: 160,249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,484 : 102,439 = 102,439 : x
  2. Step 2: Convert to fraction form
    65,484/102,439 = 102,439/x
  3. Step 3: Cross multiply
    65,484x = 102,439 × 102,439
  4. Step 4: Simplify right side
    65,484x = 10,493,748,721
  5. Step 5: Solve for x
    x = 10,493,748,721/65,484
  6. Step 6: Final answer
    x = 160,249.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.