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Finding the Third Proportional to 34,653 and 81,750

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Solution

The third proportional to 34,653 and 81,750 is: 192,856.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,653 : 81,750 = 81,750 : x
  2. Step 2: Convert to fraction form
    34,653/81,750 = 81,750/x
  3. Step 3: Cross multiply
    34,653x = 81,750 × 81,750
  4. Step 4: Simplify right side
    34,653x = 6,683,062,500
  5. Step 5: Solve for x
    x = 6,683,062,500/34,653
  6. Step 6: Final answer
    x = 192,856.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.