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Finding the Third Proportional to 106,442 and 163,658

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Solution

The third proportional to 106,442 and 163,658 is: 251,629.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,442 : 163,658 = 163,658 : x
  2. Step 2: Convert to fraction form
    106,442/163,658 = 163,658/x
  3. Step 3: Cross multiply
    106,442x = 163,658 × 163,658
  4. Step 4: Simplify right side
    106,442x = 26,783,940,964
  5. Step 5: Solve for x
    x = 26,783,940,964/106,442
  6. Step 6: Final answer
    x = 251,629.44

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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.