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Finding the Third Proportional to 89,246 and 118,981

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Solution

The third proportional to 89,246 and 118,981 is: 158,623.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,246 : 118,981 = 118,981 : x
  2. Step 2: Convert to fraction form
    89,246/118,981 = 118,981/x
  3. Step 3: Cross multiply
    89,246x = 118,981 × 118,981
  4. Step 4: Simplify right side
    89,246x = 14,156,478,361
  5. Step 5: Solve for x
    x = 14,156,478,361/89,246
  6. Step 6: Final answer
    x = 158,623.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.