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Finding the Third Proportional to 125,697 and 273,210

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Solution

The third proportional to 125,697 and 273,210 is: 593,838.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,697 : 273,210 = 273,210 : x
  2. Step 2: Convert to fraction form
    125,697/273,210 = 273,210/x
  3. Step 3: Cross multiply
    125,697x = 273,210 × 273,210
  4. Step 4: Simplify right side
    125,697x = 74,643,704,100
  5. Step 5: Solve for x
    x = 74,643,704,100/125,697
  6. Step 6: Final answer
    x = 593,838.39

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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.