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Finding the Third Proportional to 89,294 and 121,273

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Solution

The third proportional to 89,294 and 121,273 is: 164,704.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,294 : 121,273 = 121,273 : x
  2. Step 2: Convert to fraction form
    89,294/121,273 = 121,273/x
  3. Step 3: Cross multiply
    89,294x = 121,273 × 121,273
  4. Step 4: Simplify right side
    89,294x = 14,707,140,529
  5. Step 5: Solve for x
    x = 14,707,140,529/89,294
  6. Step 6: Final answer
    x = 164,704.69

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.