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Finding the Third Proportional to 125,703 and 273,222

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Solution

The third proportional to 125,703 and 273,222 is: 593,862.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,703 : 273,222 = 273,222 : x
  2. Step 2: Convert to fraction form
    125,703/273,222 = 273,222/x
  3. Step 3: Cross multiply
    125,703x = 273,222 × 273,222
  4. Step 4: Simplify right side
    125,703x = 74,650,261,284
  5. Step 5: Solve for x
    x = 74,650,261,284/125,703
  6. Step 6: Final answer
    x = 593,862.21

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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.