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Finding the Third Proportional to 80,644 and 121,046

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Solution

The third proportional to 80,644 and 121,046 is: 181,689.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,644 : 121,046 = 121,046 : x
  2. Step 2: Convert to fraction form
    80,644/121,046 = 121,046/x
  3. Step 3: Cross multiply
    80,644x = 121,046 × 121,046
  4. Step 4: Simplify right side
    80,644x = 14,652,134,116
  5. Step 5: Solve for x
    x = 14,652,134,116/80,644
  6. Step 6: Final answer
    x = 181,689.08

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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.