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Finding the Third Proportional to 71,006.25 and 153,084.75

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Solution

The third proportional to 71,006.25 and 153,084.75 is: 330,040.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,006.25 : 153,084.75 = 153,084.75 : x
  2. Step 2: Convert to fraction form
    71,006.25/153,084.75 = 153,084.75/x
  3. Step 3: Cross multiply
    71,006.25x = 153,084.75 × 153,084.75
  4. Step 4: Simplify right side
    71,006.25x = 23,434,940,682.56
  5. Step 5: Solve for x
    x = 23,434,940,682.56/71,006.25
  6. Step 6: Final answer
    x = 330,040.53

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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.