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Finding the Third Proportional to 92,227.50 and 135,058.50

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Solution

The third proportional to 92,227.50 and 135,058.50 is: 197,780.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,227.50 : 135,058.50 = 135,058.50 : x
  2. Step 2: Convert to fraction form
    92,227.50/135,058.50 = 135,058.50/x
  3. Step 3: Cross multiply
    92,227.50x = 135,058.50 × 135,058.50
  4. Step 4: Simplify right side
    92,227.50x = 18,240,798,422.25
  5. Step 5: Solve for x
    x = 18,240,798,422.25/92,227.50
  6. Step 6: Final answer
    x = 197,780.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.