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Finding the Third Proportional to 124,051.50 and 185,773.50

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Solution

The third proportional to 124,051.50 and 185,773.50 is: 278,205.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,051.50 : 185,773.50 = 185,773.50 : x
  2. Step 2: Convert to fraction form
    124,051.50/185,773.50 = 185,773.50/x
  3. Step 3: Cross multiply
    124,051.50x = 185,773.50 × 185,773.50
  4. Step 4: Simplify right side
    124,051.50x = 34,511,793,302.25
  5. Step 5: Solve for x
    x = 34,511,793,302.25/124,051.50
  6. Step 6: Final answer
    x = 278,205.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.