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Finding the Third Proportional to 109,529 and 141,829

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Solution

The third proportional to 109,529 and 141,829 is: 183,654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,529 : 141,829 = 141,829 : x
  2. Step 2: Convert to fraction form
    109,529/141,829 = 141,829/x
  3. Step 3: Cross multiply
    109,529x = 141,829 × 141,829
  4. Step 4: Simplify right side
    109,529x = 20,115,465,241
  5. Step 5: Solve for x
    x = 20,115,465,241/109,529
  6. Step 6: Final answer
    x = 183,654.24

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.