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Finding the Third Proportional to 71,907.50 and 151,251.50

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Solution

The third proportional to 71,907.50 and 151,251.50 is: 318,145.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,907.50 : 151,251.50 = 151,251.50 : x
  2. Step 2: Convert to fraction form
    71,907.50/151,251.50 = 151,251.50/x
  3. Step 3: Cross multiply
    71,907.50x = 151,251.50 × 151,251.50
  4. Step 4: Simplify right side
    71,907.50x = 22,877,016,252.25
  5. Step 5: Solve for x
    x = 22,877,016,252.25/71,907.50
  6. Step 6: Final answer
    x = 318,145.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.