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Finding the Third Proportional to 89,332 and 121,318

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Solution

The third proportional to 89,332 and 121,318 is: 164,756.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,332 : 121,318 = 121,318 : x
  2. Step 2: Convert to fraction form
    89,332/121,318 = 121,318/x
  3. Step 3: Cross multiply
    89,332x = 121,318 × 121,318
  4. Step 4: Simplify right side
    89,332x = 14,718,057,124
  5. Step 5: Solve for x
    x = 14,718,057,124/89,332
  6. Step 6: Final answer
    x = 164,756.83

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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.