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Finding the Third Proportional to 36,298.13 and 78,337.13

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Solution

The third proportional to 36,298.13 and 78,337.13 is: 169,063.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,298.13 : 78,337.13 = 78,337.13 : x
  2. Step 2: Convert to fraction form
    36,298.13/78,337.13 = 78,337.13/x
  3. Step 3: Cross multiply
    36,298.13x = 78,337.13 × 78,337.13
  4. Step 4: Simplify right side
    36,298.13x = 6,136,705,153.27
  5. Step 5: Solve for x
    x = 6,136,705,153.27/36,298.13
  6. Step 6: Final answer
    x = 169,063.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.