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Finding the Third Proportional to 81,569 and 119,424

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Solution

The third proportional to 81,569 and 119,424 is: 174,846.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,569 : 119,424 = 119,424 : x
  2. Step 2: Convert to fraction form
    81,569/119,424 = 119,424/x
  3. Step 3: Cross multiply
    81,569x = 119,424 × 119,424
  4. Step 4: Simplify right side
    81,569x = 14,262,091,776
  5. Step 5: Solve for x
    x = 14,262,091,776/81,569
  6. Step 6: Final answer
    x = 174,846.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.