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Finding the Third Proportional to 106,355.53 and 164,661.61

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Solution

The third proportional to 106,355.53 and 164,661.61 is: 254,932.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,355.53 : 164,661.61 = 164,661.61 : x
  2. Step 2: Convert to fraction form
    106,355.53/164,661.61 = 164,661.61/x
  3. Step 3: Cross multiply
    106,355.53x = 164,661.61 × 164,661.61
  4. Step 4: Simplify right side
    106,355.53x = 27,113,445,601.97
  5. Step 5: Solve for x
    x = 27,113,445,601.97/106,355.53
  6. Step 6: Final answer
    x = 254,932.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.