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Finding the Third Proportional to 62,440 and 133,814

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Solution

The third proportional to 62,440 and 133,814 is: 286,774.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,440 : 133,814 = 133,814 : x
  2. Step 2: Convert to fraction form
    62,440/133,814 = 133,814/x
  3. Step 3: Cross multiply
    62,440x = 133,814 × 133,814
  4. Step 4: Simplify right side
    62,440x = 17,906,186,596
  5. Step 5: Solve for x
    x = 17,906,186,596/62,440
  6. Step 6: Final answer
    x = 286,774.29

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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.