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Finding the Third Proportional to 125,494.50 and 191,181.75

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Solution

The third proportional to 125,494.50 and 191,181.75 is: 291,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,494.50 : 191,181.75 = 191,181.75 : x
  2. Step 2: Convert to fraction form
    125,494.50/191,181.75 = 191,181.75/x
  3. Step 3: Cross multiply
    125,494.50x = 191,181.75 × 191,181.75
  4. Step 4: Simplify right side
    125,494.50x = 36,550,461,533.06
  5. Step 5: Solve for x
    x = 36,550,461,533.06/125,494.50
  6. Step 6: Final answer
    x = 291,251.50

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.