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Finding the Third Proportional to 53,961.19 and 84,472.88

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Solution

The third proportional to 53,961.19 and 84,472.88 is: 132,237.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,961.19 : 84,472.88 = 84,472.88 : x
  2. Step 2: Convert to fraction form
    53,961.19/84,472.88 = 84,472.88/x
  3. Step 3: Cross multiply
    53,961.19x = 84,472.88 × 84,472.88
  4. Step 4: Simplify right side
    53,961.19x = 7,135,666,610.77
  5. Step 5: Solve for x
    x = 7,135,666,610.77/53,961.19
  6. Step 6: Final answer
    x = 132,237.02

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.