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Finding the Third Proportional to 95,929.31 and 134,184.09

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Solution

The third proportional to 95,929.31 and 134,184.09 is: 187,694.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,929.31 : 134,184.09 = 134,184.09 : x
  2. Step 2: Convert to fraction form
    95,929.31/134,184.09 = 134,184.09/x
  3. Step 3: Cross multiply
    95,929.31x = 134,184.09 × 134,184.09
  4. Step 4: Simplify right side
    95,929.31x = 18,005,371,015.51
  5. Step 5: Solve for x
    x = 18,005,371,015.51/95,929.31
  6. Step 6: Final answer
    x = 187,694.15

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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.