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Finding the Third Proportional to 106,026 and 155,859

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Solution

The third proportional to 106,026 and 155,859 is: 229,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,026 : 155,859 = 155,859 : x
  2. Step 2: Convert to fraction form
    106,026/155,859 = 155,859/x
  3. Step 3: Cross multiply
    106,026x = 155,859 × 155,859
  4. Step 4: Simplify right side
    106,026x = 24,292,027,881
  5. Step 5: Solve for x
    x = 24,292,027,881/106,026
  6. Step 6: Final answer
    x = 229,113.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.