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Finding the Third Proportional to 67,035 and 91,291.50

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Solution

The third proportional to 67,035 and 91,291.50 is: 124,325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,035 : 91,291.50 = 91,291.50 : x
  2. Step 2: Convert to fraction form
    67,035/91,291.50 = 91,291.50/x
  3. Step 3: Cross multiply
    67,035x = 91,291.50 × 91,291.50
  4. Step 4: Simplify right side
    67,035x = 8,334,137,972.25
  5. Step 5: Solve for x
    x = 8,334,137,972.25/67,035
  6. Step 6: Final answer
    x = 124,325.17

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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.