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Finding the Third Proportional to 95,769 and 143,784

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Solution

The third proportional to 95,769 and 143,784 is: 215,871.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,769 : 143,784 = 143,784 : x
  2. Step 2: Convert to fraction form
    95,769/143,784 = 143,784/x
  3. Step 3: Cross multiply
    95,769x = 143,784 × 143,784
  4. Step 4: Simplify right side
    95,769x = 20,673,838,656
  5. Step 5: Solve for x
    x = 20,673,838,656/95,769
  6. Step 6: Final answer
    x = 215,871.93

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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.