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Finding the Third Proportional to 70,336 and 152,687

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Solution

The third proportional to 70,336 and 152,687 is: 331,456.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,336 : 152,687 = 152,687 : x
  2. Step 2: Convert to fraction form
    70,336/152,687 = 152,687/x
  3. Step 3: Cross multiply
    70,336x = 152,687 × 152,687
  4. Step 4: Simplify right side
    70,336x = 23,313,319,969
  5. Step 5: Solve for x
    x = 23,313,319,969/70,336
  6. Step 6: Final answer
    x = 331,456.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.