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Finding the Third Proportional to 84,790 and 131,082

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Solution

The third proportional to 84,790 and 131,082 is: 202,647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,790 : 131,082 = 131,082 : x
  2. Step 2: Convert to fraction form
    84,790/131,082 = 131,082/x
  3. Step 3: Cross multiply
    84,790x = 131,082 × 131,082
  4. Step 4: Simplify right side
    84,790x = 17,182,490,724
  5. Step 5: Solve for x
    x = 17,182,490,724/84,790
  6. Step 6: Final answer
    x = 202,647.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.