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Finding the Third Proportional to 49,522 and 76,713

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Solution

The third proportional to 49,522 and 76,713 is: 118,833.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,522 : 76,713 = 76,713 : x
  2. Step 2: Convert to fraction form
    49,522/76,713 = 76,713/x
  3. Step 3: Cross multiply
    49,522x = 76,713 × 76,713
  4. Step 4: Simplify right side
    49,522x = 5,884,884,369
  5. Step 5: Solve for x
    x = 5,884,884,369/49,522
  6. Step 6: Final answer
    x = 118,833.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.