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Finding the Third Proportional to 65,521.13 and 98,178.75

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Solution

The third proportional to 65,521.13 and 98,178.75 is: 147,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,521.13 : 98,178.75 = 98,178.75 : x
  2. Step 2: Convert to fraction form
    65,521.13/98,178.75 = 98,178.75/x
  3. Step 3: Cross multiply
    65,521.13x = 98,178.75 × 98,178.75
  4. Step 4: Simplify right side
    65,521.13x = 9,639,066,951.56
  5. Step 5: Solve for x
    x = 9,639,066,951.56/65,521.13
  6. Step 6: Final answer
    x = 147,113.88

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Why These Related Problems?

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