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Finding the Third Proportional to 55,504.13 and 84,637.69

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Solution

The third proportional to 55,504.13 and 84,637.69 is: 129,063.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,504.13 : 84,637.69 = 84,637.69 : x
  2. Step 2: Convert to fraction form
    55,504.13/84,637.69 = 84,637.69/x
  3. Step 3: Cross multiply
    55,504.13x = 84,637.69 × 84,637.69
  4. Step 4: Simplify right side
    55,504.13x = 7,163,538,145.35
  5. Step 5: Solve for x
    x = 7,163,538,145.35/55,504.13
  6. Step 6: Final answer
    x = 129,063.17

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.