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Finding the Third Proportional to 86,492 and 126,624

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Solution

The third proportional to 86,492 and 126,624 is: 185,377.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,492 : 126,624 = 126,624 : x
  2. Step 2: Convert to fraction form
    86,492/126,624 = 126,624/x
  3. Step 3: Cross multiply
    86,492x = 126,624 × 126,624
  4. Step 4: Simplify right side
    86,492x = 16,033,637,376
  5. Step 5: Solve for x
    x = 16,033,637,376/86,492
  6. Step 6: Final answer
    x = 185,377.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.