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Finding the Third Proportional to 62,384 and 133,664

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Solution

The third proportional to 62,384 and 133,664 is: 286,388.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,384 : 133,664 = 133,664 : x
  2. Step 2: Convert to fraction form
    62,384/133,664 = 133,664/x
  3. Step 3: Cross multiply
    62,384x = 133,664 × 133,664
  4. Step 4: Simplify right side
    62,384x = 17,866,064,896
  5. Step 5: Solve for x
    x = 17,866,064,896/62,384
  6. Step 6: Final answer
    x = 286,388.58

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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.