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Finding the Third Proportional to 70,710 and 151,540

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Solution

The third proportional to 70,710 and 151,540 is: 324,768.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,710 : 151,540 = 151,540 : x
  2. Step 2: Convert to fraction form
    70,710/151,540 = 151,540/x
  3. Step 3: Cross multiply
    70,710x = 151,540 × 151,540
  4. Step 4: Simplify right side
    70,710x = 22,964,371,600
  5. Step 5: Solve for x
    x = 22,964,371,600/70,710
  6. Step 6: Final answer
    x = 324,768.37

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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.