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Finding the Third Proportional to 42,026 and 90,814

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Solution

The third proportional to 42,026 and 90,814 is: 196,240.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,026 : 90,814 = 90,814 : x
  2. Step 2: Convert to fraction form
    42,026/90,814 = 90,814/x
  3. Step 3: Cross multiply
    42,026x = 90,814 × 90,814
  4. Step 4: Simplify right side
    42,026x = 8,247,182,596
  5. Step 5: Solve for x
    x = 8,247,182,596/42,026
  6. Step 6: Final answer
    x = 196,240.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.