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Finding the Third Proportional to 89,306 and 121,615

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Solution

The third proportional to 89,306 and 121,615 is: 165,612.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,306 : 121,615 = 121,615 : x
  2. Step 2: Convert to fraction form
    89,306/121,615 = 121,615/x
  3. Step 3: Cross multiply
    89,306x = 121,615 × 121,615
  4. Step 4: Simplify right side
    89,306x = 14,790,208,225
  5. Step 5: Solve for x
    x = 14,790,208,225/89,306
  6. Step 6: Final answer
    x = 165,612.70

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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.