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Finding the Third Proportional to 102,635 and 163,439

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Solution

The third proportional to 102,635 and 163,439 is: 260,265.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,635 : 163,439 = 163,439 : x
  2. Step 2: Convert to fraction form
    102,635/163,439 = 163,439/x
  3. Step 3: Cross multiply
    102,635x = 163,439 × 163,439
  4. Step 4: Simplify right side
    102,635x = 26,712,306,721
  5. Step 5: Solve for x
    x = 26,712,306,721/102,635
  6. Step 6: Final answer
    x = 260,265.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.