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Finding the Third Proportional to 78,828.82 and 122,397.96

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Solution

The third proportional to 78,828.82 and 122,397.96 is: 190,048.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,828.82 : 122,397.96 = 122,397.96 : x
  2. Step 2: Convert to fraction form
    78,828.82/122,397.96 = 122,397.96/x
  3. Step 3: Cross multiply
    78,828.82x = 122,397.96 × 122,397.96
  4. Step 4: Simplify right side
    78,828.82x = 14,981,260,841.66
  5. Step 5: Solve for x
    x = 14,981,260,841.66/78,828.82
  6. Step 6: Final answer
    x = 190,048.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.