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Finding the Third Proportional to 61,728.75 and 92,187

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Solution

The third proportional to 61,728.75 and 92,187 is: 137,673.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,728.75 : 92,187 = 92,187 : x
  2. Step 2: Convert to fraction form
    61,728.75/92,187 = 92,187/x
  3. Step 3: Cross multiply
    61,728.75x = 92,187 × 92,187
  4. Step 4: Simplify right side
    61,728.75x = 8,498,442,969
  5. Step 5: Solve for x
    x = 8,498,442,969/61,728.75
  6. Step 6: Final answer
    x = 137,673.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.