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Finding the Third Proportional to 60,521 and 133,057

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Solution

The third proportional to 60,521 and 133,057 is: 292,529.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,521 : 133,057 = 133,057 : x
  2. Step 2: Convert to fraction form
    60,521/133,057 = 133,057/x
  3. Step 3: Cross multiply
    60,521x = 133,057 × 133,057
  4. Step 4: Simplify right side
    60,521x = 17,704,165,249
  5. Step 5: Solve for x
    x = 17,704,165,249/60,521
  6. Step 6: Final answer
    x = 292,529.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.