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Finding the Third Proportional to 110,500.25 and 169,945.50

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Solution

The third proportional to 110,500.25 and 169,945.50 is: 261,370.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,500.25 : 169,945.50 = 169,945.50 : x
  2. Step 2: Convert to fraction form
    110,500.25/169,945.50 = 169,945.50/x
  3. Step 3: Cross multiply
    110,500.25x = 169,945.50 × 169,945.50
  4. Step 4: Simplify right side
    110,500.25x = 28,881,472,970.25
  5. Step 5: Solve for x
    x = 28,881,472,970.25/110,500.25
  6. Step 6: Final answer
    x = 261,370.20

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.