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Finding the Third Proportional to 125,767 and 190,270.50

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Solution

The third proportional to 125,767 and 190,270.50 is: 287,856.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,767 : 190,270.50 = 190,270.50 : x
  2. Step 2: Convert to fraction form
    125,767/190,270.50 = 190,270.50/x
  3. Step 3: Cross multiply
    125,767x = 190,270.50 × 190,270.50
  4. Step 4: Simplify right side
    125,767x = 36,202,863,170.25
  5. Step 5: Solve for x
    x = 36,202,863,170.25/125,767
  6. Step 6: Final answer
    x = 287,856.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.