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Finding the Third Proportional to 108,359.50 and 143,781.50

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Solution

The third proportional to 108,359.50 and 143,781.50 is: 190,782.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,359.50 : 143,781.50 = 143,781.50 : x
  2. Step 2: Convert to fraction form
    108,359.50/143,781.50 = 143,781.50/x
  3. Step 3: Cross multiply
    108,359.50x = 143,781.50 × 143,781.50
  4. Step 4: Simplify right side
    108,359.50x = 20,673,119,742.25
  5. Step 5: Solve for x
    x = 20,673,119,742.25/108,359.50
  6. Step 6: Final answer
    x = 190,782.72

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.