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Finding the Third Proportional to 82,642 and 131,347

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Solution

The third proportional to 82,642 and 131,347 is: 208,756.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,642 : 131,347 = 131,347 : x
  2. Step 2: Convert to fraction form
    82,642/131,347 = 131,347/x
  3. Step 3: Cross multiply
    82,642x = 131,347 × 131,347
  4. Step 4: Simplify right side
    82,642x = 17,252,034,409
  5. Step 5: Solve for x
    x = 17,252,034,409/82,642
  6. Step 6: Final answer
    x = 208,756.25

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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.