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Finding the Third Proportional to 137,067.75 and 215,068.50

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Solution

The third proportional to 137,067.75 and 215,068.50 is: 337,456.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,067.75 : 215,068.50 = 215,068.50 : x
  2. Step 2: Convert to fraction form
    137,067.75/215,068.50 = 215,068.50/x
  3. Step 3: Cross multiply
    137,067.75x = 215,068.50 × 215,068.50
  4. Step 4: Simplify right side
    137,067.75x = 46,254,459,692.25
  5. Step 5: Solve for x
    x = 46,254,459,692.25/137,067.75
  6. Step 6: Final answer
    x = 337,456.91

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.