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Finding the Third Proportional to 61,508 and 134,505

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Solution

The third proportional to 61,508 and 134,505 is: 294,134.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,508 : 134,505 = 134,505 : x
  2. Step 2: Convert to fraction form
    61,508/134,505 = 134,505/x
  3. Step 3: Cross multiply
    61,508x = 134,505 × 134,505
  4. Step 4: Simplify right side
    61,508x = 18,091,595,025
  5. Step 5: Solve for x
    x = 18,091,595,025/61,508
  6. Step 6: Final answer
    x = 294,134.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.