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Finding the Third Proportional to 72,016 and 149,808

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Solution

The third proportional to 72,016 and 149,808 is: 311,631.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,016 : 149,808 = 149,808 : x
  2. Step 2: Convert to fraction form
    72,016/149,808 = 149,808/x
  3. Step 3: Cross multiply
    72,016x = 149,808 × 149,808
  4. Step 4: Simplify right side
    72,016x = 22,442,436,864
  5. Step 5: Solve for x
    x = 22,442,436,864/72,016
  6. Step 6: Final answer
    x = 311,631.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.