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Finding the Third Proportional to 36,229.50 and 78,138

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Solution

The third proportional to 36,229.50 and 78,138 is: 168,524.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,229.50 : 78,138 = 78,138 : x
  2. Step 2: Convert to fraction form
    36,229.50/78,138 = 78,138/x
  3. Step 3: Cross multiply
    36,229.50x = 78,138 × 78,138
  4. Step 4: Simplify right side
    36,229.50x = 6,105,547,044
  5. Step 5: Solve for x
    x = 6,105,547,044/36,229.50
  6. Step 6: Final answer
    x = 168,524.19

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