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Finding the Third Proportional to 68,969 and 97,599

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Solution

The third proportional to 68,969 and 97,599 is: 138,113.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,969 : 97,599 = 97,599 : x
  2. Step 2: Convert to fraction form
    68,969/97,599 = 97,599/x
  3. Step 3: Cross multiply
    68,969x = 97,599 × 97,599
  4. Step 4: Simplify right side
    68,969x = 9,525,564,801
  5. Step 5: Solve for x
    x = 9,525,564,801/68,969
  6. Step 6: Final answer
    x = 138,113.71

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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.