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Finding the Third Proportional to 129,951 and 175,203

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Solution

The third proportional to 129,951 and 175,203 is: 236,212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,951 : 175,203 = 175,203 : x
  2. Step 2: Convert to fraction form
    129,951/175,203 = 175,203/x
  3. Step 3: Cross multiply
    129,951x = 175,203 × 175,203
  4. Step 4: Simplify right side
    129,951x = 30,696,091,209
  5. Step 5: Solve for x
    x = 30,696,091,209/129,951
  6. Step 6: Final answer
    x = 236,212.81

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.