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Finding the Third Proportional to 95,365.69 and 144,276.19

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Solution

The third proportional to 95,365.69 and 144,276.19 is: 218,271.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,365.69 : 144,276.19 = 144,276.19 : x
  2. Step 2: Convert to fraction form
    95,365.69/144,276.19 = 144,276.19/x
  3. Step 3: Cross multiply
    95,365.69x = 144,276.19 × 144,276.19
  4. Step 4: Simplify right side
    95,365.69x = 20,815,618,279.54
  5. Step 5: Solve for x
    x = 20,815,618,279.54/95,365.69
  6. Step 6: Final answer
    x = 218,271.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.