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Finding the Third Proportional to 70,616 and 98,968

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Solution

The third proportional to 70,616 and 98,968 is: 138,703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,616 : 98,968 = 98,968 : x
  2. Step 2: Convert to fraction form
    70,616/98,968 = 98,968/x
  3. Step 3: Cross multiply
    70,616x = 98,968 × 98,968
  4. Step 4: Simplify right side
    70,616x = 9,794,665,024
  5. Step 5: Solve for x
    x = 9,794,665,024/70,616
  6. Step 6: Final answer
    x = 138,703.20

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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.