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Finding the Third Proportional to 65,635 and 101,829

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Solution

The third proportional to 65,635 and 101,829 is: 157,981.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,635 : 101,829 = 101,829 : x
  2. Step 2: Convert to fraction form
    65,635/101,829 = 101,829/x
  3. Step 3: Cross multiply
    65,635x = 101,829 × 101,829
  4. Step 4: Simplify right side
    65,635x = 10,369,145,241
  5. Step 5: Solve for x
    x = 10,369,145,241/65,635
  6. Step 6: Final answer
    x = 157,981.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.