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Finding the Third Proportional to 65,067 and 88,384.50

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Solution

The third proportional to 65,067 and 88,384.50 is: 120,058.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,067 : 88,384.50 = 88,384.50 : x
  2. Step 2: Convert to fraction form
    65,067/88,384.50 = 88,384.50/x
  3. Step 3: Cross multiply
    65,067x = 88,384.50 × 88,384.50
  4. Step 4: Simplify right side
    65,067x = 7,811,819,840.25
  5. Step 5: Solve for x
    x = 7,811,819,840.25/65,067
  6. Step 6: Final answer
    x = 120,058.09

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.