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Finding the Third Proportional to 67,616 and 97,935

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Solution

The third proportional to 67,616 and 97,935 is: 141,849.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,616 : 97,935 = 97,935 : x
  2. Step 2: Convert to fraction form
    67,616/97,935 = 97,935/x
  3. Step 3: Cross multiply
    67,616x = 97,935 × 97,935
  4. Step 4: Simplify right side
    67,616x = 9,591,264,225
  5. Step 5: Solve for x
    x = 9,591,264,225/67,616
  6. Step 6: Final answer
    x = 141,849.03

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.