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Finding the Third Proportional to 125,040 and 273,814

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Solution

The third proportional to 125,040 and 273,814 is: 599,600.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,040 : 273,814 = 273,814 : x
  2. Step 2: Convert to fraction form
    125,040/273,814 = 273,814/x
  3. Step 3: Cross multiply
    125,040x = 273,814 × 273,814
  4. Step 4: Simplify right side
    125,040x = 74,974,106,596
  5. Step 5: Solve for x
    x = 74,974,106,596/125,040
  6. Step 6: Final answer
    x = 599,600.98

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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.