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Finding the Third Proportional to 129,448 and 173,841

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Solution

The third proportional to 129,448 and 173,841 is: 233,458.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,448 : 173,841 = 173,841 : x
  2. Step 2: Convert to fraction form
    129,448/173,841 = 173,841/x
  3. Step 3: Cross multiply
    129,448x = 173,841 × 173,841
  4. Step 4: Simplify right side
    129,448x = 30,220,693,281
  5. Step 5: Solve for x
    x = 30,220,693,281/129,448
  6. Step 6: Final answer
    x = 233,458.17

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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.