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Finding the Third Proportional to 60,491 and 133,058

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Solution

The third proportional to 60,491 and 133,058 is: 292,678.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,491 : 133,058 = 133,058 : x
  2. Step 2: Convert to fraction form
    60,491/133,058 = 133,058/x
  3. Step 3: Cross multiply
    60,491x = 133,058 × 133,058
  4. Step 4: Simplify right side
    60,491x = 17,704,431,364
  5. Step 5: Solve for x
    x = 17,704,431,364/60,491
  6. Step 6: Final answer
    x = 292,678.77

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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.