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Finding the Third Proportional to 82,681 and 131,093

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Solution

The third proportional to 82,681 and 131,093 is: 207,851.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,681 : 131,093 = 131,093 : x
  2. Step 2: Convert to fraction form
    82,681/131,093 = 131,093/x
  3. Step 3: Cross multiply
    82,681x = 131,093 × 131,093
  4. Step 4: Simplify right side
    82,681x = 17,185,374,649
  5. Step 5: Solve for x
    x = 17,185,374,649/82,681
  6. Step 6: Final answer
    x = 207,851.56

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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.