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Finding the Third Proportional to 62,176.69 and 133,217.63

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Solution

The third proportional to 62,176.69 and 133,217.63 is: 285,427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,176.69 : 133,217.63 = 133,217.63 : x
  2. Step 2: Convert to fraction form
    62,176.69/133,217.63 = 133,217.63/x
  3. Step 3: Cross multiply
    62,176.69x = 133,217.63 × 133,217.63
  4. Step 4: Simplify right side
    62,176.69x = 17,746,935,610.64
  5. Step 5: Solve for x
    x = 17,746,935,610.64/62,176.69
  6. Step 6: Final answer
    x = 285,427.49

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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.