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Finding the Third Proportional to 68,883.75 and 97,497

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Solution

The third proportional to 68,883.75 and 97,497 is: 137,995.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,883.75 : 97,497 = 97,497 : x
  2. Step 2: Convert to fraction form
    68,883.75/97,497 = 97,497/x
  3. Step 3: Cross multiply
    68,883.75x = 97,497 × 97,497
  4. Step 4: Simplify right side
    68,883.75x = 9,505,665,009
  5. Step 5: Solve for x
    x = 9,505,665,009/68,883.75
  6. Step 6: Final answer
    x = 137,995.75

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.