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Finding the Third Proportional to 125,669.25 and 273,452.06

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Solution

The third proportional to 125,669.25 and 273,452.06 is: 595,022.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,669.25 : 273,452.06 = 273,452.06 : x
  2. Step 2: Convert to fraction form
    125,669.25/273,452.06 = 273,452.06/x
  3. Step 3: Cross multiply
    125,669.25x = 273,452.06 × 273,452.06
  4. Step 4: Simplify right side
    125,669.25x = 74,776,030,485.50
  5. Step 5: Solve for x
    x = 74,776,030,485.50/125,669.25
  6. Step 6: Final answer
    x = 595,022.49

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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.