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Finding the Third Proportional to 125,701 and 273,218

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Solution

The third proportional to 125,701 and 273,218 is: 593,854.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,701 : 273,218 = 273,218 : x
  2. Step 2: Convert to fraction form
    125,701/273,218 = 273,218/x
  3. Step 3: Cross multiply
    125,701x = 273,218 × 273,218
  4. Step 4: Simplify right side
    125,701x = 74,648,075,524
  5. Step 5: Solve for x
    x = 74,648,075,524/125,701
  6. Step 6: Final answer
    x = 593,854.27

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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.