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Finding the Third Proportional to 55,382 and 120,029

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Solution

The third proportional to 55,382 and 120,029 is: 260,137.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,382 : 120,029 = 120,029 : x
  2. Step 2: Convert to fraction form
    55,382/120,029 = 120,029/x
  3. Step 3: Cross multiply
    55,382x = 120,029 × 120,029
  4. Step 4: Simplify right side
    55,382x = 14,406,960,841
  5. Step 5: Solve for x
    x = 14,406,960,841/55,382
  6. Step 6: Final answer
    x = 260,137.97

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Why These Related Problems?

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