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Finding the Third Proportional to 71,107.88 and 149,050.13

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Solution

The third proportional to 71,107.88 and 149,050.13 is: 312,425.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,107.88 : 149,050.13 = 149,050.13 : x
  2. Step 2: Convert to fraction form
    71,107.88/149,050.13 = 149,050.13/x
  3. Step 3: Cross multiply
    71,107.88x = 149,050.13 × 149,050.13
  4. Step 4: Simplify right side
    71,107.88x = 22,215,939,762.52
  5. Step 5: Solve for x
    x = 22,215,939,762.52/71,107.88
  6. Step 6: Final answer
    x = 312,425.87

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