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Finding the Third Proportional to 78,170.06 and 168,733.13

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Solution

The third proportional to 78,170.06 and 168,733.13 is: 364,217.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,170.06 : 168,733.13 = 168,733.13 : x
  2. Step 2: Convert to fraction form
    78,170.06/168,733.13 = 168,733.13/x
  3. Step 3: Cross multiply
    78,170.06x = 168,733.13 × 168,733.13
  4. Step 4: Simplify right side
    78,170.06x = 28,470,867,472.27
  5. Step 5: Solve for x
    x = 28,470,867,472.27/78,170.06
  6. Step 6: Final answer
    x = 364,217.02

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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.