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Finding the Third Proportional to 125,706 and 273,564

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Solution

The third proportional to 125,706 and 273,564 is: 595,335.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,706 : 273,564 = 273,564 : x
  2. Step 2: Convert to fraction form
    125,706/273,564 = 273,564/x
  3. Step 3: Cross multiply
    125,706x = 273,564 × 273,564
  4. Step 4: Simplify right side
    125,706x = 74,837,262,096
  5. Step 5: Solve for x
    x = 74,837,262,096/125,706
  6. Step 6: Final answer
    x = 595,335.64

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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.