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Finding the Third Proportional to 125,652.50 and 273,121

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Solution

The third proportional to 125,652.50 and 273,121 is: 593,661.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,652.50 : 273,121 = 273,121 : x
  2. Step 2: Convert to fraction form
    125,652.50/273,121 = 273,121/x
  3. Step 3: Cross multiply
    125,652.50x = 273,121 × 273,121
  4. Step 4: Simplify right side
    125,652.50x = 74,595,080,641
  5. Step 5: Solve for x
    x = 74,595,080,641/125,652.50
  6. Step 6: Final answer
    x = 593,661.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.