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Finding the Third Proportional to 129,154 and 173,562

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Solution

The third proportional to 129,154 and 173,562 is: 233,239.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,154 : 173,562 = 173,562 : x
  2. Step 2: Convert to fraction form
    129,154/173,562 = 173,562/x
  3. Step 3: Cross multiply
    129,154x = 173,562 × 173,562
  4. Step 4: Simplify right side
    129,154x = 30,123,767,844
  5. Step 5: Solve for x
    x = 30,123,767,844/129,154
  6. Step 6: Final answer
    x = 233,239.14

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.