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Finding the Third Proportional to 85,612 and 131,658

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Solution

The third proportional to 85,612 and 131,658 is: 202,469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,612 : 131,658 = 131,658 : x
  2. Step 2: Convert to fraction form
    85,612/131,658 = 131,658/x
  3. Step 3: Cross multiply
    85,612x = 131,658 × 131,658
  4. Step 4: Simplify right side
    85,612x = 17,333,828,964
  5. Step 5: Solve for x
    x = 17,333,828,964/85,612
  6. Step 6: Final answer
    x = 202,469.62

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.