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Finding the Third Proportional to 72,018 and 109,021.50

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Solution

The third proportional to 72,018 and 109,021.50 is: 165,037.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,018 : 109,021.50 = 109,021.50 : x
  2. Step 2: Convert to fraction form
    72,018/109,021.50 = 109,021.50/x
  3. Step 3: Cross multiply
    72,018x = 109,021.50 × 109,021.50
  4. Step 4: Simplify right side
    72,018x = 11,885,687,462.25
  5. Step 5: Solve for x
    x = 11,885,687,462.25/72,018
  6. Step 6: Final answer
    x = 165,037.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.