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Finding the Third Proportional to 36,294.19 and 78,150.94

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Solution

The third proportional to 36,294.19 and 78,150.94 is: 168,279.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,294.19 : 78,150.94 = 78,150.94 : x
  2. Step 2: Convert to fraction form
    36,294.19/78,150.94 = 78,150.94/x
  3. Step 3: Cross multiply
    36,294.19x = 78,150.94 × 78,150.94
  4. Step 4: Simplify right side
    36,294.19x = 6,107,569,032.13
  5. Step 5: Solve for x
    x = 6,107,569,032.13/36,294.19
  6. Step 6: Final answer
    x = 168,279.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.