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Finding the Third Proportional to 108,969 and 150,061.50

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Solution

The third proportional to 108,969 and 150,061.50 is: 206,650.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,969 : 150,061.50 = 150,061.50 : x
  2. Step 2: Convert to fraction form
    108,969/150,061.50 = 150,061.50/x
  3. Step 3: Cross multiply
    108,969x = 150,061.50 × 150,061.50
  4. Step 4: Simplify right side
    108,969x = 22,518,453,782.25
  5. Step 5: Solve for x
    x = 22,518,453,782.25/108,969
  6. Step 6: Final answer
    x = 206,650.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.