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Finding the Third Proportional to 61,509.38 and 133,923.38

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Solution

The third proportional to 61,509.38 and 133,923.38 is: 291,589.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,509.38 : 133,923.38 = 133,923.38 : x
  2. Step 2: Convert to fraction form
    61,509.38/133,923.38 = 133,923.38/x
  3. Step 3: Cross multiply
    61,509.38x = 133,923.38 × 133,923.38
  4. Step 4: Simplify right side
    61,509.38x = 17,935,470,371.39
  5. Step 5: Solve for x
    x = 17,935,470,371.39/61,509.38
  6. Step 6: Final answer
    x = 291,589.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.