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Finding the Third Proportional to 125,074 and 273,503

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Solution

The third proportional to 125,074 and 273,503 is: 598,077.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,074 : 273,503 = 273,503 : x
  2. Step 2: Convert to fraction form
    125,074/273,503 = 273,503/x
  3. Step 3: Cross multiply
    125,074x = 273,503 × 273,503
  4. Step 4: Simplify right side
    125,074x = 74,803,891,009
  5. Step 5: Solve for x
    x = 74,803,891,009/125,074
  6. Step 6: Final answer
    x = 598,077.07

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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.