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Finding the Third Proportional to 89,705.81 and 121,882.22

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Solution

The third proportional to 89,705.81 and 121,882.22 is: 165,599.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,705.81 : 121,882.22 = 121,882.22 : x
  2. Step 2: Convert to fraction form
    89,705.81/121,882.22 = 121,882.22/x
  3. Step 3: Cross multiply
    89,705.81x = 121,882.22 × 121,882.22
  4. Step 4: Simplify right side
    89,705.81x = 14,855,275,247.42
  5. Step 5: Solve for x
    x = 14,855,275,247.42/89,705.81
  6. Step 6: Final answer
    x = 165,599.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.