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Finding the Third Proportional to 125,790.75 and 273,726

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Solution

The third proportional to 125,790.75 and 273,726 is: 595,639.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,790.75 : 273,726 = 273,726 : x
  2. Step 2: Convert to fraction form
    125,790.75/273,726 = 273,726/x
  3. Step 3: Cross multiply
    125,790.75x = 273,726 × 273,726
  4. Step 4: Simplify right side
    125,790.75x = 74,925,923,076
  5. Step 5: Solve for x
    x = 74,925,923,076/125,790.75
  6. Step 6: Final answer
    x = 595,639.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.