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Finding the Third Proportional to 70,626 and 98,786

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Solution

The third proportional to 70,626 and 98,786 is: 138,173.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,626 : 98,786 = 98,786 : x
  2. Step 2: Convert to fraction form
    70,626/98,786 = 98,786/x
  3. Step 3: Cross multiply
    70,626x = 98,786 × 98,786
  4. Step 4: Simplify right side
    70,626x = 9,758,673,796
  5. Step 5: Solve for x
    x = 9,758,673,796/70,626
  6. Step 6: Final answer
    x = 138,173.96

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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.