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Finding the Third Proportional to 95,877 and 143,268.75

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Solution

The third proportional to 95,877 and 143,268.75 is: 214,086.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,877 : 143,268.75 = 143,268.75 : x
  2. Step 2: Convert to fraction form
    95,877/143,268.75 = 143,268.75/x
  3. Step 3: Cross multiply
    95,877x = 143,268.75 × 143,268.75
  4. Step 4: Simplify right side
    95,877x = 20,525,934,726.56
  5. Step 5: Solve for x
    x = 20,525,934,726.56/95,877
  6. Step 6: Final answer
    x = 214,086.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.