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Finding the Third Proportional to 72,726 and 152,073

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Solution

The third proportional to 72,726 and 152,073 is: 317,990.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,726 : 152,073 = 152,073 : x
  2. Step 2: Convert to fraction form
    72,726/152,073 = 152,073/x
  3. Step 3: Cross multiply
    72,726x = 152,073 × 152,073
  4. Step 4: Simplify right side
    72,726x = 23,126,197,329
  5. Step 5: Solve for x
    x = 23,126,197,329/72,726
  6. Step 6: Final answer
    x = 317,990.78

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.