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Finding the Third Proportional to 44,962 and 106,117

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Solution

The third proportional to 44,962 and 106,117 is: 250,451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,962 : 106,117 = 106,117 : x
  2. Step 2: Convert to fraction form
    44,962/106,117 = 106,117/x
  3. Step 3: Cross multiply
    44,962x = 106,117 × 106,117
  4. Step 4: Simplify right side
    44,962x = 11,260,817,689
  5. Step 5: Solve for x
    x = 11,260,817,689/44,962
  6. Step 6: Final answer
    x = 250,451.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.