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Finding the Third Proportional to 43,110 and 63,023

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Solution

The third proportional to 43,110 and 63,023 is: 92,134.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,110 : 63,023 = 63,023 : x
  2. Step 2: Convert to fraction form
    43,110/63,023 = 63,023/x
  3. Step 3: Cross multiply
    43,110x = 63,023 × 63,023
  4. Step 4: Simplify right side
    43,110x = 3,971,898,529
  5. Step 5: Solve for x
    x = 3,971,898,529/43,110
  6. Step 6: Final answer
    x = 92,134.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.