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Finding the Third Proportional to 119,692.69 and 251,641.69

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Solution

The third proportional to 119,692.69 and 251,641.69 is: 529,051.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,692.69 : 251,641.69 = 251,641.69 : x
  2. Step 2: Convert to fraction form
    119,692.69/251,641.69 = 251,641.69/x
  3. Step 3: Cross multiply
    119,692.69x = 251,641.69 × 251,641.69
  4. Step 4: Simplify right side
    119,692.69x = 63,323,538,887.85
  5. Step 5: Solve for x
    x = 63,323,538,887.85/119,692.69
  6. Step 6: Final answer
    x = 529,051.02

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.