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Finding the Third Proportional to 124,920 and 269,779.50

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Solution

The third proportional to 124,920 and 269,779.50 is: 582,620.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,920 : 269,779.50 = 269,779.50 : x
  2. Step 2: Convert to fraction form
    124,920/269,779.50 = 269,779.50/x
  3. Step 3: Cross multiply
    124,920x = 269,779.50 × 269,779.50
  4. Step 4: Simplify right side
    124,920x = 72,780,978,620.25
  5. Step 5: Solve for x
    x = 72,780,978,620.25/124,920
  6. Step 6: Final answer
    x = 582,620.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.