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Finding the Third Proportional to 106,353.75 and 164,659.13

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Solution

The third proportional to 106,353.75 and 164,659.13 is: 254,928.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,353.75 : 164,659.13 = 164,659.13 : x
  2. Step 2: Convert to fraction form
    106,353.75/164,659.13 = 164,659.13/x
  3. Step 3: Cross multiply
    106,353.75x = 164,659.13 × 164,659.13
  4. Step 4: Simplify right side
    106,353.75x = 27,112,627,445.77
  5. Step 5: Solve for x
    x = 27,112,627,445.77/106,353.75
  6. Step 6: Final answer
    x = 254,928.74

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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.