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Finding the Third Proportional to 95,356.13 and 140,077.69

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Solution

The third proportional to 95,356.13 and 140,077.69 is: 205,773.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,356.13 : 140,077.69 = 140,077.69 : x
  2. Step 2: Convert to fraction form
    95,356.13/140,077.69 = 140,077.69/x
  3. Step 3: Cross multiply
    95,356.13x = 140,077.69 × 140,077.69
  4. Step 4: Simplify right side
    95,356.13x = 19,621,758,535.35
  5. Step 5: Solve for x
    x = 19,621,758,535.35/95,356.13
  6. Step 6: Final answer
    x = 205,773.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.