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Finding the Third Proportional to 67,219.88 and 97,675.88

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Solution

The third proportional to 67,219.88 and 97,675.88 is: 141,930.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,219.88 : 97,675.88 = 97,675.88 : x
  2. Step 2: Convert to fraction form
    67,219.88/97,675.88 = 97,675.88/x
  3. Step 3: Cross multiply
    67,219.88x = 97,675.88 × 97,675.88
  4. Step 4: Simplify right side
    67,219.88x = 9,540,576,557.02
  5. Step 5: Solve for x
    x = 9,540,576,557.02/67,219.88
  6. Step 6: Final answer
    x = 141,930.89

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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.