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Finding the Third Proportional to 54,642 and 82,346

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Solution

The third proportional to 54,642 and 82,346 is: 124,096.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,642 : 82,346 = 82,346 : x
  2. Step 2: Convert to fraction form
    54,642/82,346 = 82,346/x
  3. Step 3: Cross multiply
    54,642x = 82,346 × 82,346
  4. Step 4: Simplify right side
    54,642x = 6,780,863,716
  5. Step 5: Solve for x
    x = 6,780,863,716/54,642
  6. Step 6: Final answer
    x = 124,096.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.