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Finding the Third Proportional to 71,769 and 154,507

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Solution

The third proportional to 71,769 and 154,507 is: 332,628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,769 : 154,507 = 154,507 : x
  2. Step 2: Convert to fraction form
    71,769/154,507 = 154,507/x
  3. Step 3: Cross multiply
    71,769x = 154,507 × 154,507
  4. Step 4: Simplify right side
    71,769x = 23,872,413,049
  5. Step 5: Solve for x
    x = 23,872,413,049/71,769
  6. Step 6: Final answer
    x = 332,628.48

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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.