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Finding the Third Proportional to 95,946 and 143,931

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Solution

The third proportional to 95,946 and 143,931 is: 215,914.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,946 : 143,931 = 143,931 : x
  2. Step 2: Convert to fraction form
    95,946/143,931 = 143,931/x
  3. Step 3: Cross multiply
    95,946x = 143,931 × 143,931
  4. Step 4: Simplify right side
    95,946x = 20,716,132,761
  5. Step 5: Solve for x
    x = 20,716,132,761/95,946
  6. Step 6: Final answer
    x = 215,914.50

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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.