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Finding the Third Proportional to 71,301 and 153,907

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Solution

The third proportional to 71,301 and 153,907 is: 332,216.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,301 : 153,907 = 153,907 : x
  2. Step 2: Convert to fraction form
    71,301/153,907 = 153,907/x
  3. Step 3: Cross multiply
    71,301x = 153,907 × 153,907
  4. Step 4: Simplify right side
    71,301x = 23,687,364,649
  5. Step 5: Solve for x
    x = 23,687,364,649/71,301
  6. Step 6: Final answer
    x = 332,216.44

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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.