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Finding the Third Proportional to 137,061.75 and 205,591.50

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Solution

The third proportional to 137,061.75 and 205,591.50 is: 308,385.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,061.75 : 205,591.50 = 205,591.50 : x
  2. Step 2: Convert to fraction form
    137,061.75/205,591.50 = 205,591.50/x
  3. Step 3: Cross multiply
    137,061.75x = 205,591.50 × 205,591.50
  4. Step 4: Simplify right side
    137,061.75x = 42,267,864,872.25
  5. Step 5: Solve for x
    x = 42,267,864,872.25/137,061.75
  6. Step 6: Final answer
    x = 308,385.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.