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Finding the Third Proportional to 81,569 and 184,421

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Solution

The third proportional to 81,569 and 184,421 is: 416,961.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,569 : 184,421 = 184,421 : x
  2. Step 2: Convert to fraction form
    81,569/184,421 = 184,421/x
  3. Step 3: Cross multiply
    81,569x = 184,421 × 184,421
  4. Step 4: Simplify right side
    81,569x = 34,011,105,241
  5. Step 5: Solve for x
    x = 34,011,105,241/81,569
  6. Step 6: Final answer
    x = 416,961.16

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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.