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Finding the Third Proportional to 89,442 and 121,041

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Solution

The third proportional to 89,442 and 121,041 is: 163,803.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,442 : 121,041 = 121,041 : x
  2. Step 2: Convert to fraction form
    89,442/121,041 = 121,041/x
  3. Step 3: Cross multiply
    89,442x = 121,041 × 121,041
  4. Step 4: Simplify right side
    89,442x = 14,650,923,681
  5. Step 5: Solve for x
    x = 14,650,923,681/89,442
  6. Step 6: Final answer
    x = 163,803.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.