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Finding the Third Proportional to 70,040 and 155,632

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Solution

The third proportional to 70,040 and 155,632 is: 345,821.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,040 : 155,632 = 155,632 : x
  2. Step 2: Convert to fraction form
    70,040/155,632 = 155,632/x
  3. Step 3: Cross multiply
    70,040x = 155,632 × 155,632
  4. Step 4: Simplify right side
    70,040x = 24,221,319,424
  5. Step 5: Solve for x
    x = 24,221,319,424/70,040
  6. Step 6: Final answer
    x = 345,821.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.