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Finding the Third Proportional to 36,156.38 and 78,463.69

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Solution

The third proportional to 36,156.38 and 78,463.69 is: 170,275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,156.38 : 78,463.69 = 78,463.69 : x
  2. Step 2: Convert to fraction form
    36,156.38/78,463.69 = 78,463.69/x
  3. Step 3: Cross multiply
    36,156.38x = 78,463.69 × 78,463.69
  4. Step 4: Simplify right side
    36,156.38x = 6,156,550,256.10
  5. Step 5: Solve for x
    x = 6,156,550,256.10/36,156.38
  6. Step 6: Final answer
    x = 170,275.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.