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Finding the Third Proportional to 121,792 and 182,074

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Solution

The third proportional to 121,792 and 182,074 is: 272,193.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,792 : 182,074 = 182,074 : x
  2. Step 2: Convert to fraction form
    121,792/182,074 = 182,074/x
  3. Step 3: Cross multiply
    121,792x = 182,074 × 182,074
  4. Step 4: Simplify right side
    121,792x = 33,150,941,476
  5. Step 5: Solve for x
    x = 33,150,941,476/121,792
  6. Step 6: Final answer
    x = 272,193.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.