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Finding the Third Proportional to 80,074 and 185,352

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Solution

The third proportional to 80,074 and 185,352 is: 429,045.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,074 : 185,352 = 185,352 : x
  2. Step 2: Convert to fraction form
    80,074/185,352 = 185,352/x
  3. Step 3: Cross multiply
    80,074x = 185,352 × 185,352
  4. Step 4: Simplify right side
    80,074x = 34,355,363,904
  5. Step 5: Solve for x
    x = 34,355,363,904/80,074
  6. Step 6: Final answer
    x = 429,045.18

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.