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Finding the Third Proportional to 82,702 and 131,436

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Solution

The third proportional to 82,702 and 131,436 is: 208,887.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,702 : 131,436 = 131,436 : x
  2. Step 2: Convert to fraction form
    82,702/131,436 = 131,436/x
  3. Step 3: Cross multiply
    82,702x = 131,436 × 131,436
  4. Step 4: Simplify right side
    82,702x = 17,275,422,096
  5. Step 5: Solve for x
    x = 17,275,422,096/82,702
  6. Step 6: Final answer
    x = 208,887.60

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.