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Finding the Third Proportional to 36,170.93 and 78,378.89

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Solution

The third proportional to 36,170.93 and 78,378.89 is: 169,839.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,170.93 : 78,378.89 = 78,378.89 : x
  2. Step 2: Convert to fraction form
    36,170.93/78,378.89 = 78,378.89/x
  3. Step 3: Cross multiply
    36,170.93x = 78,378.89 × 78,378.89
  4. Step 4: Simplify right side
    36,170.93x = 6,143,250,495.61
  5. Step 5: Solve for x
    x = 6,143,250,495.61/36,170.93
  6. Step 6: Final answer
    x = 169,839.44

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1.5x scale

Why These Related Problems?

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