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Finding the Third Proportional to 106,481 and 164,852

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Solution

The third proportional to 106,481 and 164,852 is: 255,220.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,481 : 164,852 = 164,852 : x
  2. Step 2: Convert to fraction form
    106,481/164,852 = 164,852/x
  3. Step 3: Cross multiply
    106,481x = 164,852 × 164,852
  4. Step 4: Simplify right side
    106,481x = 27,176,181,904
  5. Step 5: Solve for x
    x = 27,176,181,904/106,481
  6. Step 6: Final answer
    x = 255,220.95

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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.