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Finding the Third Proportional to 78,048 and 121,074

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Solution

The third proportional to 78,048 and 121,074 is: 187,819.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,048 : 121,074 = 121,074 : x
  2. Step 2: Convert to fraction form
    78,048/121,074 = 121,074/x
  3. Step 3: Cross multiply
    78,048x = 121,074 × 121,074
  4. Step 4: Simplify right side
    78,048x = 14,658,913,476
  5. Step 5: Solve for x
    x = 14,658,913,476/78,048
  6. Step 6: Final answer
    x = 187,819.21

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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.