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Finding the Third Proportional to 49,810 and 78,908

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Solution

The third proportional to 49,810 and 78,908 is: 125,004.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,810 : 78,908 = 78,908 : x
  2. Step 2: Convert to fraction form
    49,810/78,908 = 78,908/x
  3. Step 3: Cross multiply
    49,810x = 78,908 × 78,908
  4. Step 4: Simplify right side
    49,810x = 6,226,472,464
  5. Step 5: Solve for x
    x = 6,226,472,464/49,810
  6. Step 6: Final answer
    x = 125,004.47

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