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Finding the Third Proportional to 95,296.50 and 150,747.75

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Solution

The third proportional to 95,296.50 and 150,747.75 is: 238,465.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,296.50 : 150,747.75 = 150,747.75 : x
  2. Step 2: Convert to fraction form
    95,296.50/150,747.75 = 150,747.75/x
  3. Step 3: Cross multiply
    95,296.50x = 150,747.75 × 150,747.75
  4. Step 4: Simplify right side
    95,296.50x = 22,724,884,130.06
  5. Step 5: Solve for x
    x = 22,724,884,130.06/95,296.50
  6. Step 6: Final answer
    x = 238,465.04

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.