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Finding the Third Proportional to 124,174.50 and 269,953.50

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Solution

The third proportional to 124,174.50 and 269,953.50 is: 586,874.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,174.50 : 269,953.50 = 269,953.50 : x
  2. Step 2: Convert to fraction form
    124,174.50/269,953.50 = 269,953.50/x
  3. Step 3: Cross multiply
    124,174.50x = 269,953.50 × 269,953.50
  4. Step 4: Simplify right side
    124,174.50x = 72,874,892,162.25
  5. Step 5: Solve for x
    x = 72,874,892,162.25/124,174.50
  6. Step 6: Final answer
    x = 586,874.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.