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Finding the Third Proportional to 91,374.50 and 137,062

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Solution

The third proportional to 91,374.50 and 137,062 is: 205,593.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,374.50 : 137,062 = 137,062 : x
  2. Step 2: Convert to fraction form
    91,374.50/137,062 = 137,062/x
  3. Step 3: Cross multiply
    91,374.50x = 137,062 × 137,062
  4. Step 4: Simplify right side
    91,374.50x = 18,785,991,844
  5. Step 5: Solve for x
    x = 18,785,991,844/91,374.50
  6. Step 6: Final answer
    x = 205,593.38

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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.