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Finding the Third Proportional to 62,784 and 135,936

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Solution

The third proportional to 62,784 and 135,936 is: 294,320.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,784 : 135,936 = 135,936 : x
  2. Step 2: Convert to fraction form
    62,784/135,936 = 135,936/x
  3. Step 3: Cross multiply
    62,784x = 135,936 × 135,936
  4. Step 4: Simplify right side
    62,784x = 18,478,596,096
  5. Step 5: Solve for x
    x = 18,478,596,096/62,784
  6. Step 6: Final answer
    x = 294,320.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.