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Finding the Third Proportional to 125,633 and 273,410

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Solution

The third proportional to 125,633 and 273,410 is: 595,011.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,633 : 273,410 = 273,410 : x
  2. Step 2: Convert to fraction form
    125,633/273,410 = 273,410/x
  3. Step 3: Cross multiply
    125,633x = 273,410 × 273,410
  4. Step 4: Simplify right side
    125,633x = 74,753,028,100
  5. Step 5: Solve for x
    x = 74,753,028,100/125,633
  6. Step 6: Final answer
    x = 595,011.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.