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Finding the Third Proportional to 91,162.50 and 137,961

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Solution

The third proportional to 91,162.50 and 137,961 is: 208,783.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,162.50 : 137,961 = 137,961 : x
  2. Step 2: Convert to fraction form
    91,162.50/137,961 = 137,961/x
  3. Step 3: Cross multiply
    91,162.50x = 137,961 × 137,961
  4. Step 4: Simplify right side
    91,162.50x = 19,033,237,521
  5. Step 5: Solve for x
    x = 19,033,237,521/91,162.50
  6. Step 6: Final answer
    x = 208,783.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.