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Finding the Third Proportional to 90,542.25 and 140,989.50

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Solution

The third proportional to 90,542.25 and 140,989.50 is: 219,544.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,542.25 : 140,989.50 = 140,989.50 : x
  2. Step 2: Convert to fraction form
    90,542.25/140,989.50 = 140,989.50/x
  3. Step 3: Cross multiply
    90,542.25x = 140,989.50 × 140,989.50
  4. Step 4: Simplify right side
    90,542.25x = 19,878,039,110.25
  5. Step 5: Solve for x
    x = 19,878,039,110.25/90,542.25
  6. Step 6: Final answer
    x = 219,544.35

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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.