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Finding the Third Proportional to 70,508 and 152,632

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Solution

The third proportional to 70,508 and 152,632 is: 330,409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,508 : 152,632 = 152,632 : x
  2. Step 2: Convert to fraction form
    70,508/152,632 = 152,632/x
  3. Step 3: Cross multiply
    70,508x = 152,632 × 152,632
  4. Step 4: Simplify right side
    70,508x = 23,296,527,424
  5. Step 5: Solve for x
    x = 23,296,527,424/70,508
  6. Step 6: Final answer
    x = 330,409.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.