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Finding the Third Proportional to 84,772 and 112,492

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Solution

The third proportional to 84,772 and 112,492 is: 149,276.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,772 : 112,492 = 112,492 : x
  2. Step 2: Convert to fraction form
    84,772/112,492 = 112,492/x
  3. Step 3: Cross multiply
    84,772x = 112,492 × 112,492
  4. Step 4: Simplify right side
    84,772x = 12,654,450,064
  5. Step 5: Solve for x
    x = 12,654,450,064/84,772
  6. Step 6: Final answer
    x = 149,276.29

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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.