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Finding the Third Proportional to 119,475 and 179,145

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Solution

The third proportional to 119,475 and 179,145 is: 268,616.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,475 : 179,145 = 179,145 : x
  2. Step 2: Convert to fraction form
    119,475/179,145 = 179,145/x
  3. Step 3: Cross multiply
    119,475x = 179,145 × 179,145
  4. Step 4: Simplify right side
    119,475x = 32,092,931,025
  5. Step 5: Solve for x
    x = 32,092,931,025/119,475
  6. Step 6: Final answer
    x = 268,616.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.