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Finding the Third Proportional to 70,068 and 163,902

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Solution

The third proportional to 70,068 and 163,902 is: 383,397.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,068 : 163,902 = 163,902 : x
  2. Step 2: Convert to fraction form
    70,068/163,902 = 163,902/x
  3. Step 3: Cross multiply
    70,068x = 163,902 × 163,902
  4. Step 4: Simplify right side
    70,068x = 26,863,865,604
  5. Step 5: Solve for x
    x = 26,863,865,604/70,068
  6. Step 6: Final answer
    x = 383,397.07

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.