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Finding the Third Proportional to 61,424 and 92,192

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Solution

The third proportional to 61,424 and 92,192 is: 138,372.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,424 : 92,192 = 92,192 : x
  2. Step 2: Convert to fraction form
    61,424/92,192 = 92,192/x
  3. Step 3: Cross multiply
    61,424x = 92,192 × 92,192
  4. Step 4: Simplify right side
    61,424x = 8,499,364,864
  5. Step 5: Solve for x
    x = 8,499,364,864/61,424
  6. Step 6: Final answer
    x = 138,372.05

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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.