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Finding the Third Proportional to 100,135.50 and 155,947.50

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Solution

The third proportional to 100,135.50 and 155,947.50 is: 242,867.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,135.50 : 155,947.50 = 155,947.50 : x
  2. Step 2: Convert to fraction form
    100,135.50/155,947.50 = 155,947.50/x
  3. Step 3: Cross multiply
    100,135.50x = 155,947.50 × 155,947.50
  4. Step 4: Simplify right side
    100,135.50x = 24,319,622,756.25
  5. Step 5: Solve for x
    x = 24,319,622,756.25/100,135.50
  6. Step 6: Final answer
    x = 242,867.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.