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Finding the Third Proportional to 89,522 and 121,137

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Solution

The third proportional to 89,522 and 121,137 is: 163,916.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,522 : 121,137 = 121,137 : x
  2. Step 2: Convert to fraction form
    89,522/121,137 = 121,137/x
  3. Step 3: Cross multiply
    89,522x = 121,137 × 121,137
  4. Step 4: Simplify right side
    89,522x = 14,674,172,769
  5. Step 5: Solve for x
    x = 14,674,172,769/89,522
  6. Step 6: Final answer
    x = 163,916.95

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