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Finding the Third Proportional to 70,543 and 150,792

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Solution

The third proportional to 70,543 and 150,792 is: 322,331.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,543 : 150,792 = 150,792 : x
  2. Step 2: Convert to fraction form
    70,543/150,792 = 150,792/x
  3. Step 3: Cross multiply
    70,543x = 150,792 × 150,792
  4. Step 4: Simplify right side
    70,543x = 22,738,227,264
  5. Step 5: Solve for x
    x = 22,738,227,264/70,543
  6. Step 6: Final answer
    x = 322,331.45

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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.