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Finding the Third Proportional to 34,156 and 73,580

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Solution

The third proportional to 34,156 and 73,580 is: 158,508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,156 : 73,580 = 73,580 : x
  2. Step 2: Convert to fraction form
    34,156/73,580 = 73,580/x
  3. Step 3: Cross multiply
    34,156x = 73,580 × 73,580
  4. Step 4: Simplify right side
    34,156x = 5,414,016,400
  5. Step 5: Solve for x
    x = 5,414,016,400/34,156
  6. Step 6: Final answer
    x = 158,508.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.