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Finding the Third Proportional to 125,844 and 273,792

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Solution

The third proportional to 125,844 and 273,792 is: 595,674.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,844 : 273,792 = 273,792 : x
  2. Step 2: Convert to fraction form
    125,844/273,792 = 273,792/x
  3. Step 3: Cross multiply
    125,844x = 273,792 × 273,792
  4. Step 4: Simplify right side
    125,844x = 74,962,059,264
  5. Step 5: Solve for x
    x = 74,962,059,264/125,844
  6. Step 6: Final answer
    x = 595,674.48

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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.