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Finding the Third Proportional to 91,793.25 and 137,264.63

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Solution

The third proportional to 91,793.25 and 137,264.63 is: 205,261.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,793.25 : 137,264.63 = 137,264.63 : x
  2. Step 2: Convert to fraction form
    91,793.25/137,264.63 = 137,264.63/x
  3. Step 3: Cross multiply
    91,793.25x = 137,264.63 × 137,264.63
  4. Step 4: Simplify right side
    91,793.25x = 18,841,577,276.39
  5. Step 5: Solve for x
    x = 18,841,577,276.39/91,793.25
  6. Step 6: Final answer
    x = 205,261.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.