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Finding the Third Proportional to 90,038.25 and 193,419

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Solution

The third proportional to 90,038.25 and 193,419 is: 415,500.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,038.25 : 193,419 = 193,419 : x
  2. Step 2: Convert to fraction form
    90,038.25/193,419 = 193,419/x
  3. Step 3: Cross multiply
    90,038.25x = 193,419 × 193,419
  4. Step 4: Simplify right side
    90,038.25x = 37,410,909,561
  5. Step 5: Solve for x
    x = 37,410,909,561/90,038.25
  6. Step 6: Final answer
    x = 415,500.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.