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Finding the Third Proportional to 117,549 and 250,074

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Solution

The third proportional to 117,549 and 250,074 is: 532,007.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,549 : 250,074 = 250,074 : x
  2. Step 2: Convert to fraction form
    117,549/250,074 = 250,074/x
  3. Step 3: Cross multiply
    117,549x = 250,074 × 250,074
  4. Step 4: Simplify right side
    117,549x = 62,537,005,476
  5. Step 5: Solve for x
    x = 62,537,005,476/117,549
  6. Step 6: Final answer
    x = 532,007.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.