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Finding the Third Proportional to 125,570.25 and 273,261.09

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Solution

The third proportional to 125,570.25 and 273,261.09 is: 594,660.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,570.25 : 273,261.09 = 273,261.09 : x
  2. Step 2: Convert to fraction form
    125,570.25/273,261.09 = 273,261.09/x
  3. Step 3: Cross multiply
    125,570.25x = 273,261.09 × 273,261.09
  4. Step 4: Simplify right side
    125,570.25x = 74,671,625,357.45
  5. Step 5: Solve for x
    x = 74,671,625,357.45/125,570.25
  6. Step 6: Final answer
    x = 594,660.16

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