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Finding the Third Proportional to 71,385.75 and 152,883

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Solution

The third proportional to 71,385.75 and 152,883 is: 327,421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,385.75 : 152,883 = 152,883 : x
  2. Step 2: Convert to fraction form
    71,385.75/152,883 = 152,883/x
  3. Step 3: Cross multiply
    71,385.75x = 152,883 × 152,883
  4. Step 4: Simplify right side
    71,385.75x = 23,373,211,689
  5. Step 5: Solve for x
    x = 23,373,211,689/71,385.75
  6. Step 6: Final answer
    x = 327,421.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.