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Finding the Third Proportional to 49,521 and 74,518

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Solution

The third proportional to 49,521 and 74,518 is: 112,132.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,521 : 74,518 = 74,518 : x
  2. Step 2: Convert to fraction form
    49,521/74,518 = 74,518/x
  3. Step 3: Cross multiply
    49,521x = 74,518 × 74,518
  4. Step 4: Simplify right side
    49,521x = 5,552,932,324
  5. Step 5: Solve for x
    x = 5,552,932,324/49,521
  6. Step 6: Final answer
    x = 112,132.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.