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Finding the Third Proportional to 67,072 and 90,766.50

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Solution

The third proportional to 67,072 and 90,766.50 is: 122,831.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,072 : 90,766.50 = 90,766.50 : x
  2. Step 2: Convert to fraction form
    67,072/90,766.50 = 90,766.50/x
  3. Step 3: Cross multiply
    67,072x = 90,766.50 × 90,766.50
  4. Step 4: Simplify right side
    67,072x = 8,238,557,522.25
  5. Step 5: Solve for x
    x = 8,238,557,522.25/67,072
  6. Step 6: Final answer
    x = 122,831.55

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.