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Finding the Third Proportional to 106,438 and 163,652

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Solution

The third proportional to 106,438 and 163,652 is: 251,620.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,438 : 163,652 = 163,652 : x
  2. Step 2: Convert to fraction form
    106,438/163,652 = 163,652/x
  3. Step 3: Cross multiply
    106,438x = 163,652 × 163,652
  4. Step 4: Simplify right side
    106,438x = 26,781,977,104
  5. Step 5: Solve for x
    x = 26,781,977,104/106,438
  6. Step 6: Final answer
    x = 251,620.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.