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Finding the Third Proportional to 106,854 and 153,996

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Solution

The third proportional to 106,854 and 153,996 is: 221,936.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,854 : 153,996 = 153,996 : x
  2. Step 2: Convert to fraction form
    106,854/153,996 = 153,996/x
  3. Step 3: Cross multiply
    106,854x = 153,996 × 153,996
  4. Step 4: Simplify right side
    106,854x = 23,714,768,016
  5. Step 5: Solve for x
    x = 23,714,768,016/106,854
  6. Step 6: Final answer
    x = 221,936.17

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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.