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Finding the Third Proportional to 78,042 and 117,612

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Solution

The third proportional to 78,042 and 117,612 is: 177,245.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,042 : 117,612 = 117,612 : x
  2. Step 2: Convert to fraction form
    78,042/117,612 = 117,612/x
  3. Step 3: Cross multiply
    78,042x = 117,612 × 117,612
  4. Step 4: Simplify right side
    78,042x = 13,832,582,544
  5. Step 5: Solve for x
    x = 13,832,582,544/78,042
  6. Step 6: Final answer
    x = 177,245.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.