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Finding the Third Proportional to 49,141 and 75,539

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Solution

The third proportional to 49,141 and 75,539 is: 116,117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,141 : 75,539 = 75,539 : x
  2. Step 2: Convert to fraction form
    49,141/75,539 = 75,539/x
  3. Step 3: Cross multiply
    49,141x = 75,539 × 75,539
  4. Step 4: Simplify right side
    49,141x = 5,706,140,521
  5. Step 5: Solve for x
    x = 5,706,140,521/49,141
  6. Step 6: Final answer
    x = 116,117.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.