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Finding the Third Proportional to 49,754 and 78,781

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Solution

The third proportional to 49,754 and 78,781 is: 124,742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,754 : 78,781 = 78,781 : x
  2. Step 2: Convert to fraction form
    49,754/78,781 = 78,781/x
  3. Step 3: Cross multiply
    49,754x = 78,781 × 78,781
  4. Step 4: Simplify right side
    49,754x = 6,206,445,961
  5. Step 5: Solve for x
    x = 6,206,445,961/49,754
  6. Step 6: Final answer
    x = 124,742.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.