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Finding the Third Proportional to 95,042.25 and 132,875.44

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Solution

The third proportional to 95,042.25 and 132,875.44 is: 185,768.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,042.25 : 132,875.44 = 132,875.44 : x
  2. Step 2: Convert to fraction form
    95,042.25/132,875.44 = 132,875.44/x
  3. Step 3: Cross multiply
    95,042.25x = 132,875.44 × 132,875.44
  4. Step 4: Simplify right side
    95,042.25x = 17,655,881,890.82
  5. Step 5: Solve for x
    x = 17,655,881,890.82/95,042.25
  6. Step 6: Final answer
    x = 185,768.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.