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Finding the Third Proportional to 68,769 and 98,111.25

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Solution

The third proportional to 68,769 and 98,111.25 is: 139,973.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,769 : 98,111.25 = 98,111.25 : x
  2. Step 2: Convert to fraction form
    68,769/98,111.25 = 98,111.25/x
  3. Step 3: Cross multiply
    68,769x = 98,111.25 × 98,111.25
  4. Step 4: Simplify right side
    68,769x = 9,625,817,376.56
  5. Step 5: Solve for x
    x = 9,625,817,376.56/68,769
  6. Step 6: Final answer
    x = 139,973.21

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.