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Finding the Third Proportional to 124,985.25 and 274,986

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Solution

The third proportional to 124,985.25 and 274,986 is: 605,009.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,985.25 : 274,986 = 274,986 : x
  2. Step 2: Convert to fraction form
    124,985.25/274,986 = 274,986/x
  3. Step 3: Cross multiply
    124,985.25x = 274,986 × 274,986
  4. Step 4: Simplify right side
    124,985.25x = 75,617,300,196
  5. Step 5: Solve for x
    x = 75,617,300,196/124,985.25
  6. Step 6: Final answer
    x = 605,009.79

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.