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Finding the Third Proportional to 60,424 and 133,356

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Solution

The third proportional to 60,424 and 133,356 is: 294,317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,424 : 133,356 = 133,356 : x
  2. Step 2: Convert to fraction form
    60,424/133,356 = 133,356/x
  3. Step 3: Cross multiply
    60,424x = 133,356 × 133,356
  4. Step 4: Simplify right side
    60,424x = 17,783,822,736
  5. Step 5: Solve for x
    x = 17,783,822,736/60,424
  6. Step 6: Final answer
    x = 294,317.20

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.