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Finding the Third Proportional to 106,035 and 163,973

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Solution

The third proportional to 106,035 and 163,973 is: 253,568.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,035 : 163,973 = 163,973 : x
  2. Step 2: Convert to fraction form
    106,035/163,973 = 163,973/x
  3. Step 3: Cross multiply
    106,035x = 163,973 × 163,973
  4. Step 4: Simplify right side
    106,035x = 26,887,144,729
  5. Step 5: Solve for x
    x = 26,887,144,729/106,035
  6. Step 6: Final answer
    x = 253,568.58

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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.