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Finding the Third Proportional to 106,542 and 227,664

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Solution

The third proportional to 106,542 and 227,664 is: 486,483.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,542 : 227,664 = 227,664 : x
  2. Step 2: Convert to fraction form
    106,542/227,664 = 227,664/x
  3. Step 3: Cross multiply
    106,542x = 227,664 × 227,664
  4. Step 4: Simplify right side
    106,542x = 51,830,896,896
  5. Step 5: Solve for x
    x = 51,830,896,896/106,542
  6. Step 6: Final answer
    x = 486,483.24

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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.