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Finding the Third Proportional to 80,548 and 181,985

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Solution

The third proportional to 80,548 and 181,985 is: 411,165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,548 : 181,985 = 181,985 : x
  2. Step 2: Convert to fraction form
    80,548/181,985 = 181,985/x
  3. Step 3: Cross multiply
    80,548x = 181,985 × 181,985
  4. Step 4: Simplify right side
    80,548x = 33,118,540,225
  5. Step 5: Solve for x
    x = 33,118,540,225/80,548
  6. Step 6: Final answer
    x = 411,165.27

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.