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Finding the Third Proportional to 86,015.25 and 126,484.88

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Solution

The third proportional to 86,015.25 and 126,484.88 is: 185,995.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,015.25 : 126,484.88 = 126,484.88 : x
  2. Step 2: Convert to fraction form
    86,015.25/126,484.88 = 126,484.88/x
  3. Step 3: Cross multiply
    86,015.25x = 126,484.88 × 126,484.88
  4. Step 4: Simplify right side
    86,015.25x = 15,998,423,603.77
  5. Step 5: Solve for x
    x = 15,998,423,603.77/86,015.25
  6. Step 6: Final answer
    x = 185,995.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.