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Finding the Third Proportional to 125,031 and 273,798

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Solution

The third proportional to 125,031 and 273,798 is: 599,574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,031 : 273,798 = 273,798 : x
  2. Step 2: Convert to fraction form
    125,031/273,798 = 273,798/x
  3. Step 3: Cross multiply
    125,031x = 273,798 × 273,798
  4. Step 4: Simplify right side
    125,031x = 74,965,344,804
  5. Step 5: Solve for x
    x = 74,965,344,804/125,031
  6. Step 6: Final answer
    x = 599,574.06

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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.