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Finding the Third Proportional to 89,332 and 121,322

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Solution

The third proportional to 89,332 and 121,322 is: 164,767.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,332 : 121,322 = 121,322 : x
  2. Step 2: Convert to fraction form
    89,332/121,322 = 121,322/x
  3. Step 3: Cross multiply
    89,332x = 121,322 × 121,322
  4. Step 4: Simplify right side
    89,332x = 14,719,027,684
  5. Step 5: Solve for x
    x = 14,719,027,684/89,332
  6. Step 6: Final answer
    x = 164,767.69

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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.