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Finding the Third Proportional to 69,397.88 and 149,320.13

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Solution

The third proportional to 69,397.88 and 149,320.13 is: 321,285.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,397.88 : 149,320.13 = 149,320.13 : x
  2. Step 2: Convert to fraction form
    69,397.88/149,320.13 = 149,320.13/x
  3. Step 3: Cross multiply
    69,397.88x = 149,320.13 × 149,320.13
  4. Step 4: Simplify right side
    69,397.88x = 22,296,499,730.02
  5. Step 5: Solve for x
    x = 22,296,499,730.02/69,397.88
  6. Step 6: Final answer
    x = 321,285.05

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.