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Finding the Third Proportional to 140,527.13 and 207,069.75

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Solution

The third proportional to 140,527.13 and 207,069.75 is: 305,121.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,527.13 : 207,069.75 = 207,069.75 : x
  2. Step 2: Convert to fraction form
    140,527.13/207,069.75 = 207,069.75/x
  3. Step 3: Cross multiply
    140,527.13x = 207,069.75 × 207,069.75
  4. Step 4: Simplify right side
    140,527.13x = 42,877,881,365.06
  5. Step 5: Solve for x
    x = 42,877,881,365.06/140,527.13
  6. Step 6: Final answer
    x = 305,121.74

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.