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Finding the Third Proportional to 44,051 and 96,814

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Solution

The third proportional to 44,051 and 96,814 is: 212,774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,051 : 96,814 = 96,814 : x
  2. Step 2: Convert to fraction form
    44,051/96,814 = 96,814/x
  3. Step 3: Cross multiply
    44,051x = 96,814 × 96,814
  4. Step 4: Simplify right side
    44,051x = 9,372,950,596
  5. Step 5: Solve for x
    x = 9,372,950,596/44,051
  6. Step 6: Final answer
    x = 212,774.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.