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Finding the Third Proportional to 125,029 and 273,794

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Solution

The third proportional to 125,029 and 273,794 is: 599,566.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,029 : 273,794 = 273,794 : x
  2. Step 2: Convert to fraction form
    125,029/273,794 = 273,794/x
  3. Step 3: Cross multiply
    125,029x = 273,794 × 273,794
  4. Step 4: Simplify right side
    125,029x = 74,963,154,436
  5. Step 5: Solve for x
    x = 74,963,154,436/125,029
  6. Step 6: Final answer
    x = 599,566.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.