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Finding the Third Proportional to 72,036 and 149,848

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Solution

The third proportional to 72,036 and 149,848 is: 311,711.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,036 : 149,848 = 149,848 : x
  2. Step 2: Convert to fraction form
    72,036/149,848 = 149,848/x
  3. Step 3: Cross multiply
    72,036x = 149,848 × 149,848
  4. Step 4: Simplify right side
    72,036x = 22,454,423,104
  5. Step 5: Solve for x
    x = 22,454,423,104/72,036
  6. Step 6: Final answer
    x = 311,711.13

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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.