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Finding the Third Proportional to 135,037.13 and 292,977

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Solution

The third proportional to 135,037.13 and 292,977 is: 635,643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,037.13 : 292,977 = 292,977 : x
  2. Step 2: Convert to fraction form
    135,037.13/292,977 = 292,977/x
  3. Step 3: Cross multiply
    135,037.13x = 292,977 × 292,977
  4. Step 4: Simplify right side
    135,037.13x = 85,835,522,529
  5. Step 5: Solve for x
    x = 85,835,522,529/135,037.13
  6. Step 6: Final answer
    x = 635,643.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.