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Finding the Third Proportional to 61,598 and 135,318

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Solution

The third proportional to 61,598 and 135,318 is: 297,265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,598 : 135,318 = 135,318 : x
  2. Step 2: Convert to fraction form
    61,598/135,318 = 135,318/x
  3. Step 3: Cross multiply
    61,598x = 135,318 × 135,318
  4. Step 4: Simplify right side
    61,598x = 18,310,961,124
  5. Step 5: Solve for x
    x = 18,310,961,124/61,598
  6. Step 6: Final answer
    x = 297,265.51

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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.