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Finding the Third Proportional to 125,074 and 273,502

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Solution

The third proportional to 125,074 and 273,502 is: 598,072.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,074 : 273,502 = 273,502 : x
  2. Step 2: Convert to fraction form
    125,074/273,502 = 273,502/x
  3. Step 3: Cross multiply
    125,074x = 273,502 × 273,502
  4. Step 4: Simplify right side
    125,074x = 74,803,344,004
  5. Step 5: Solve for x
    x = 74,803,344,004/125,074
  6. Step 6: Final answer
    x = 598,072.69

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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.