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Finding the Third Proportional to 72,219 and 111,606

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Solution

The third proportional to 72,219 and 111,606 is: 172,473.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,219 : 111,606 = 111,606 : x
  2. Step 2: Convert to fraction form
    72,219/111,606 = 111,606/x
  3. Step 3: Cross multiply
    72,219x = 111,606 × 111,606
  4. Step 4: Simplify right side
    72,219x = 12,455,899,236
  5. Step 5: Solve for x
    x = 12,455,899,236/72,219
  6. Step 6: Final answer
    x = 172,473.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.