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Finding the Third Proportional to 89,216 and 121,107

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Solution

The third proportional to 89,216 and 121,107 is: 164,397.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,216 : 121,107 = 121,107 : x
  2. Step 2: Convert to fraction form
    89,216/121,107 = 121,107/x
  3. Step 3: Cross multiply
    89,216x = 121,107 × 121,107
  4. Step 4: Simplify right side
    89,216x = 14,666,905,449
  5. Step 5: Solve for x
    x = 14,666,905,449/89,216
  6. Step 6: Final answer
    x = 164,397.70

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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.