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Finding the Third Proportional to 86,351.06 and 130,868.16

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Solution

The third proportional to 86,351.06 and 130,868.16 is: 198,335.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,351.06 : 130,868.16 = 130,868.16 : x
  2. Step 2: Convert to fraction form
    86,351.06/130,868.16 = 130,868.16/x
  3. Step 3: Cross multiply
    86,351.06x = 130,868.16 × 130,868.16
  4. Step 4: Simplify right side
    86,351.06x = 17,126,474,320.27
  5. Step 5: Solve for x
    x = 17,126,474,320.27/86,351.06
  6. Step 6: Final answer
    x = 198,335.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.