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Finding the Third Proportional to 86,559.94 and 132,966.66

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Solution

The third proportional to 86,559.94 and 132,966.66 is: 204,253.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,559.94 : 132,966.66 = 132,966.66 : x
  2. Step 2: Convert to fraction form
    86,559.94/132,966.66 = 132,966.66/x
  3. Step 3: Cross multiply
    86,559.94x = 132,966.66 × 132,966.66
  4. Step 4: Simplify right side
    86,559.94x = 17,680,131,674.31
  5. Step 5: Solve for x
    x = 17,680,131,674.31/86,559.94
  6. Step 6: Final answer
    x = 204,253.05

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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.