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Finding the Third Proportional to 108,263.25 and 155,947.50

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Solution

The third proportional to 108,263.25 and 155,947.50 is: 224,634.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,263.25 : 155,947.50 = 155,947.50 : x
  2. Step 2: Convert to fraction form
    108,263.25/155,947.50 = 155,947.50/x
  3. Step 3: Cross multiply
    108,263.25x = 155,947.50 × 155,947.50
  4. Step 4: Simplify right side
    108,263.25x = 24,319,622,756.25
  5. Step 5: Solve for x
    x = 24,319,622,756.25/108,263.25
  6. Step 6: Final answer
    x = 224,634.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.