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Finding the Third Proportional to 81,257 and 124,046

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Solution

The third proportional to 81,257 and 124,046 is: 189,367.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,257 : 124,046 = 124,046 : x
  2. Step 2: Convert to fraction form
    81,257/124,046 = 124,046/x
  3. Step 3: Cross multiply
    81,257x = 124,046 × 124,046
  4. Step 4: Simplify right side
    81,257x = 15,387,410,116
  5. Step 5: Solve for x
    x = 15,387,410,116/81,257
  6. Step 6: Final answer
    x = 189,367.19

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.