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Finding the Third Proportional to 55,026.84 and 82,661.77

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Solution

The third proportional to 55,026.84 and 82,661.77 is: 124,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,026.84 : 82,661.77 = 82,661.77 : x
  2. Step 2: Convert to fraction form
    55,026.84/82,661.77 = 82,661.77/x
  3. Step 3: Cross multiply
    55,026.84x = 82,661.77 × 82,661.77
  4. Step 4: Simplify right side
    55,026.84x = 6,832,967,496.24
  5. Step 5: Solve for x
    x = 6,832,967,496.24/55,026.84
  6. Step 6: Final answer
    x = 124,175.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.