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Finding the Third Proportional to 86,852.25 and 130,278.38

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Solution

The third proportional to 86,852.25 and 130,278.38 is: 195,417.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,852.25 : 130,278.38 = 130,278.38 : x
  2. Step 2: Convert to fraction form
    86,852.25/130,278.38 = 130,278.38/x
  3. Step 3: Cross multiply
    86,852.25x = 130,278.38 × 130,278.38
  4. Step 4: Simplify right side
    86,852.25x = 16,972,454,992.64
  5. Step 5: Solve for x
    x = 16,972,454,992.64/86,852.25
  6. Step 6: Final answer
    x = 195,417.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.