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Finding the Third Proportional to 63,213 and 95,219.50

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Solution

The third proportional to 63,213 and 95,219.50 is: 143,431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,213 : 95,219.50 = 95,219.50 : x
  2. Step 2: Convert to fraction form
    63,213/95,219.50 = 95,219.50/x
  3. Step 3: Cross multiply
    63,213x = 95,219.50 × 95,219.50
  4. Step 4: Simplify right side
    63,213x = 9,066,753,180.25
  5. Step 5: Solve for x
    x = 9,066,753,180.25/63,213
  6. Step 6: Final answer
    x = 143,431.78

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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.