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Finding the Third Proportional to 106,818 and 163,916

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Solution

The third proportional to 106,818 and 163,916 is: 251,534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,818 : 163,916 = 163,916 : x
  2. Step 2: Convert to fraction form
    106,818/163,916 = 163,916/x
  3. Step 3: Cross multiply
    106,818x = 163,916 × 163,916
  4. Step 4: Simplify right side
    106,818x = 26,868,455,056
  5. Step 5: Solve for x
    x = 26,868,455,056/106,818
  6. Step 6: Final answer
    x = 251,534.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.