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Finding the Third Proportional to 35,225 and 73,359

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Solution

The third proportional to 35,225 and 73,359 is: 152,776.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,225 : 73,359 = 73,359 : x
  2. Step 2: Convert to fraction form
    35,225/73,359 = 73,359/x
  3. Step 3: Cross multiply
    35,225x = 73,359 × 73,359
  4. Step 4: Simplify right side
    35,225x = 5,381,542,881
  5. Step 5: Solve for x
    x = 5,381,542,881/35,225
  6. Step 6: Final answer
    x = 152,776.24

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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.