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Finding the Third Proportional to 49,197 and 74,382

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Solution

The third proportional to 49,197 and 74,382 is: 112,459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,197 : 74,382 = 74,382 : x
  2. Step 2: Convert to fraction form
    49,197/74,382 = 74,382/x
  3. Step 3: Cross multiply
    49,197x = 74,382 × 74,382
  4. Step 4: Simplify right side
    49,197x = 5,532,681,924
  5. Step 5: Solve for x
    x = 5,532,681,924/49,197
  6. Step 6: Final answer
    x = 112,459.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.