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Finding the Third Proportional to 70,614 and 151,461

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Solution

The third proportional to 70,614 and 151,461 is: 324,870.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,614 : 151,461 = 151,461 : x
  2. Step 2: Convert to fraction form
    70,614/151,461 = 151,461/x
  3. Step 3: Cross multiply
    70,614x = 151,461 × 151,461
  4. Step 4: Simplify right side
    70,614x = 22,940,434,521
  5. Step 5: Solve for x
    x = 22,940,434,521/70,614
  6. Step 6: Final answer
    x = 324,870.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.