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Finding the Third Proportional to 71,250 and 153,918

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Solution

The third proportional to 71,250 and 153,918 is: 332,501.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,250 : 153,918 = 153,918 : x
  2. Step 2: Convert to fraction form
    71,250/153,918 = 153,918/x
  3. Step 3: Cross multiply
    71,250x = 153,918 × 153,918
  4. Step 4: Simplify right side
    71,250x = 23,690,750,724
  5. Step 5: Solve for x
    x = 23,690,750,724/71,250
  6. Step 6: Final answer
    x = 332,501.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.