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Finding the Third Proportional to 106,480 and 165,102

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Solution

The third proportional to 106,480 and 165,102 is: 255,998.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,480 : 165,102 = 165,102 : x
  2. Step 2: Convert to fraction form
    106,480/165,102 = 165,102/x
  3. Step 3: Cross multiply
    106,480x = 165,102 × 165,102
  4. Step 4: Simplify right side
    106,480x = 27,258,670,404
  5. Step 5: Solve for x
    x = 27,258,670,404/106,480
  6. Step 6: Final answer
    x = 255,998.03

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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.