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Finding the Third Proportional to 70,988 and 109,902

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Solution

The third proportional to 70,988 and 109,902 is: 170,147.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,988 : 109,902 = 109,902 : x
  2. Step 2: Convert to fraction form
    70,988/109,902 = 109,902/x
  3. Step 3: Cross multiply
    70,988x = 109,902 × 109,902
  4. Step 4: Simplify right side
    70,988x = 12,078,449,604
  5. Step 5: Solve for x
    x = 12,078,449,604/70,988
  6. Step 6: Final answer
    x = 170,147.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.