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Finding the Third Proportional to 81,904 and 123,248

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Solution

The third proportional to 81,904 and 123,248 is: 185,461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,904 : 123,248 = 123,248 : x
  2. Step 2: Convert to fraction form
    81,904/123,248 = 123,248/x
  3. Step 3: Cross multiply
    81,904x = 123,248 × 123,248
  4. Step 4: Simplify right side
    81,904x = 15,190,069,504
  5. Step 5: Solve for x
    x = 15,190,069,504/81,904
  6. Step 6: Final answer
    x = 185,461.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.