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Finding the Third Proportional to 106,522 and 153,447

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Solution

The third proportional to 106,522 and 153,447 is: 221,043.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,522 : 153,447 = 153,447 : x
  2. Step 2: Convert to fraction form
    106,522/153,447 = 153,447/x
  3. Step 3: Cross multiply
    106,522x = 153,447 × 153,447
  4. Step 4: Simplify right side
    106,522x = 23,545,981,809
  5. Step 5: Solve for x
    x = 23,545,981,809/106,522
  6. Step 6: Final answer
    x = 221,043.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.