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Finding the Third Proportional to 128,006 and 275,630

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Solution

The third proportional to 128,006 and 275,630 is: 593,502.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,006 : 275,630 = 275,630 : x
  2. Step 2: Convert to fraction form
    128,006/275,630 = 275,630/x
  3. Step 3: Cross multiply
    128,006x = 275,630 × 275,630
  4. Step 4: Simplify right side
    128,006x = 75,971,896,900
  5. Step 5: Solve for x
    x = 75,971,896,900/128,006
  6. Step 6: Final answer
    x = 593,502.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.