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Finding the Third Proportional to 86,154.75 and 132,393.38

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Solution

The third proportional to 86,154.75 and 132,393.38 is: 203,447.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,154.75 : 132,393.38 = 132,393.38 : x
  2. Step 2: Convert to fraction form
    86,154.75/132,393.38 = 132,393.38/x
  3. Step 3: Cross multiply
    86,154.75x = 132,393.38 × 132,393.38
  4. Step 4: Simplify right side
    86,154.75x = 17,528,005,743.89
  5. Step 5: Solve for x
    x = 17,528,005,743.89/86,154.75
  6. Step 6: Final answer
    x = 203,447.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.