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Finding the Third Proportional to 49,356 and 76,341

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Solution

The third proportional to 49,356 and 76,341 is: 118,079.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,356 : 76,341 = 76,341 : x
  2. Step 2: Convert to fraction form
    49,356/76,341 = 76,341/x
  3. Step 3: Cross multiply
    49,356x = 76,341 × 76,341
  4. Step 4: Simplify right side
    49,356x = 5,827,948,281
  5. Step 5: Solve for x
    x = 5,827,948,281/49,356
  6. Step 6: Final answer
    x = 118,079.83

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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.