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Finding the Third Proportional to 70,951 and 152,665

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Solution

The third proportional to 70,951 and 152,665 is: 328,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,951 : 152,665 = 152,665 : x
  2. Step 2: Convert to fraction form
    70,951/152,665 = 152,665/x
  3. Step 3: Cross multiply
    70,951x = 152,665 × 152,665
  4. Step 4: Simplify right side
    70,951x = 23,306,602,225
  5. Step 5: Solve for x
    x = 23,306,602,225/70,951
  6. Step 6: Final answer
    x = 328,488.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.