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Finding the Third Proportional to 52,246.13 and 78,247.69

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Solution

The third proportional to 52,246.13 and 78,247.69 is: 117,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,246.13 : 78,247.69 = 78,247.69 : x
  2. Step 2: Convert to fraction form
    52,246.13/78,247.69 = 78,247.69/x
  3. Step 3: Cross multiply
    52,246.13x = 78,247.69 × 78,247.69
  4. Step 4: Simplify right side
    52,246.13x = 6,122,700,599.10
  5. Step 5: Solve for x
    x = 6,122,700,599.10/52,246.13
  6. Step 6: Final answer
    x = 117,189.56

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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.