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Finding the Third Proportional to 56,032.50 and 121,398

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Solution

The third proportional to 56,032.50 and 121,398 is: 263,016.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,032.50 : 121,398 = 121,398 : x
  2. Step 2: Convert to fraction form
    56,032.50/121,398 = 121,398/x
  3. Step 3: Cross multiply
    56,032.50x = 121,398 × 121,398
  4. Step 4: Simplify right side
    56,032.50x = 14,737,474,404
  5. Step 5: Solve for x
    x = 14,737,474,404/56,032.50
  6. Step 6: Final answer
    x = 263,016.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.