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Finding the Third Proportional to 49,567 and 76,778

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Solution

The third proportional to 49,567 and 76,778 is: 118,927.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,567 : 76,778 = 76,778 : x
  2. Step 2: Convert to fraction form
    49,567/76,778 = 76,778/x
  3. Step 3: Cross multiply
    49,567x = 76,778 × 76,778
  4. Step 4: Simplify right side
    49,567x = 5,894,861,284
  5. Step 5: Solve for x
    x = 5,894,861,284/49,567
  6. Step 6: Final answer
    x = 118,927.13

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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.