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Finding the Third Proportional to 67,625 and 97,961.50

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Solution

The third proportional to 67,625 and 97,961.50 is: 141,906.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,625 : 97,961.50 = 97,961.50 : x
  2. Step 2: Convert to fraction form
    67,625/97,961.50 = 97,961.50/x
  3. Step 3: Cross multiply
    67,625x = 97,961.50 × 97,961.50
  4. Step 4: Simplify right side
    67,625x = 9,596,455,482.25
  5. Step 5: Solve for x
    x = 9,596,455,482.25/67,625
  6. Step 6: Final answer
    x = 141,906.92

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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.