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Finding the Third Proportional to 70,708 and 98,905

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Solution

The third proportional to 70,708 and 98,905 is: 138,346.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,708 : 98,905 = 98,905 : x
  2. Step 2: Convert to fraction form
    70,708/98,905 = 98,905/x
  3. Step 3: Cross multiply
    70,708x = 98,905 × 98,905
  4. Step 4: Simplify right side
    70,708x = 9,782,199,025
  5. Step 5: Solve for x
    x = 9,782,199,025/70,708
  6. Step 6: Final answer
    x = 138,346.43

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.