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Finding the Third Proportional to 49,738 and 78,758

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Solution

The third proportional to 49,738 and 78,758 is: 124,709.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,738 : 78,758 = 78,758 : x
  2. Step 2: Convert to fraction form
    49,738/78,758 = 78,758/x
  3. Step 3: Cross multiply
    49,738x = 78,758 × 78,758
  4. Step 4: Simplify right side
    49,738x = 6,202,822,564
  5. Step 5: Solve for x
    x = 6,202,822,564/49,738
  6. Step 6: Final answer
    x = 124,709.93

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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.