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Finding the Third Proportional to 62,179 and 133,222

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Solution

The third proportional to 62,179 and 133,222 is: 285,435.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,179 : 133,222 = 133,222 : x
  2. Step 2: Convert to fraction form
    62,179/133,222 = 133,222/x
  3. Step 3: Cross multiply
    62,179x = 133,222 × 133,222
  4. Step 4: Simplify right side
    62,179x = 17,748,101,284
  5. Step 5: Solve for x
    x = 17,748,101,284/62,179
  6. Step 6: Final answer
    x = 285,435.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.