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Finding the Third Proportional to 148,479.75 and 201,727.13

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Solution

The third proportional to 148,479.75 and 201,727.13 is: 274,069.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,479.75 : 201,727.13 = 201,727.13 : x
  2. Step 2: Convert to fraction form
    148,479.75/201,727.13 = 201,727.13/x
  3. Step 3: Cross multiply
    148,479.75x = 201,727.13 × 201,727.13
  4. Step 4: Simplify right side
    148,479.75x = 40,693,832,960.77
  5. Step 5: Solve for x
    x = 40,693,832,960.77/148,479.75
  6. Step 6: Final answer
    x = 274,069.92

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.