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Finding the Third Proportional to 35,221 and 73,349

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Solution

The third proportional to 35,221 and 73,349 is: 152,751.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,221 : 73,349 = 73,349 : x
  2. Step 2: Convert to fraction form
    35,221/73,349 = 73,349/x
  3. Step 3: Cross multiply
    35,221x = 73,349 × 73,349
  4. Step 4: Simplify right side
    35,221x = 5,380,075,801
  5. Step 5: Solve for x
    x = 5,380,075,801/35,221
  6. Step 6: Final answer
    x = 152,751.93

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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.