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Finding the Third Proportional to 55,239.19 and 84,463.50

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Solution

The third proportional to 55,239.19 and 84,463.50 is: 129,148.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,239.19 : 84,463.50 = 84,463.50 : x
  2. Step 2: Convert to fraction form
    55,239.19/84,463.50 = 84,463.50/x
  3. Step 3: Cross multiply
    55,239.19x = 84,463.50 × 84,463.50
  4. Step 4: Simplify right side
    55,239.19x = 7,134,082,832.25
  5. Step 5: Solve for x
    x = 7,134,082,832.25/55,239.19
  6. Step 6: Final answer
    x = 129,148.95

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.