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Finding the Third Proportional to 51,526 and 108,588

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Solution

The third proportional to 51,526 and 108,588 is: 228,842.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,526 : 108,588 = 108,588 : x
  2. Step 2: Convert to fraction form
    51,526/108,588 = 108,588/x
  3. Step 3: Cross multiply
    51,526x = 108,588 × 108,588
  4. Step 4: Simplify right side
    51,526x = 11,791,353,744
  5. Step 5: Solve for x
    x = 11,791,353,744/51,526
  6. Step 6: Final answer
    x = 228,842.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.