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Finding the Third Proportional to 95,946 and 150,503.75

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Solution

The third proportional to 95,946 and 150,503.75 is: 236,084.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,946 : 150,503.75 = 150,503.75 : x
  2. Step 2: Convert to fraction form
    95,946/150,503.75 = 150,503.75/x
  3. Step 3: Cross multiply
    95,946x = 150,503.75 × 150,503.75
  4. Step 4: Simplify right side
    95,946x = 22,651,378,764.06
  5. Step 5: Solve for x
    x = 22,651,378,764.06/95,946
  6. Step 6: Final answer
    x = 236,084.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.