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Finding the Third Proportional to 61,664 and 135,450

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Solution

The third proportional to 61,664 and 135,450 is: 297,526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,664 : 135,450 = 135,450 : x
  2. Step 2: Convert to fraction form
    61,664/135,450 = 135,450/x
  3. Step 3: Cross multiply
    61,664x = 135,450 × 135,450
  4. Step 4: Simplify right side
    61,664x = 18,346,702,500
  5. Step 5: Solve for x
    x = 18,346,702,500/61,664
  6. Step 6: Final answer
    x = 297,526.96

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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.