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Finding the Third Proportional to 95,943 and 143,913

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Solution

The third proportional to 95,943 and 143,913 is: 215,867.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,943 : 143,913 = 143,913 : x
  2. Step 2: Convert to fraction form
    95,943/143,913 = 143,913/x
  3. Step 3: Cross multiply
    95,943x = 143,913 × 143,913
  4. Step 4: Simplify right side
    95,943x = 20,710,951,569
  5. Step 5: Solve for x
    x = 20,710,951,569/95,943
  6. Step 6: Final answer
    x = 215,867.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.