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Finding the Third Proportional to 124,959.38 and 274,235.63

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Solution

The third proportional to 124,959.38 and 274,235.63 is: 601,837.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,959.38 : 274,235.63 = 274,235.63 : x
  2. Step 2: Convert to fraction form
    124,959.38/274,235.63 = 274,235.63/x
  3. Step 3: Cross multiply
    124,959.38x = 274,235.63 × 274,235.63
  4. Step 4: Simplify right side
    124,959.38x = 75,205,178,019.14
  5. Step 5: Solve for x
    x = 75,205,178,019.14/124,959.38
  6. Step 6: Final answer
    x = 601,837.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.