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Finding the Third Proportional to 56,269.69 and 122,995.13

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Solution

The third proportional to 56,269.69 and 122,995.13 is: 268,844.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,269.69 : 122,995.13 = 122,995.13 : x
  2. Step 2: Convert to fraction form
    56,269.69/122,995.13 = 122,995.13/x
  3. Step 3: Cross multiply
    56,269.69x = 122,995.13 × 122,995.13
  4. Step 4: Simplify right side
    56,269.69x = 15,127,800,773.77
  5. Step 5: Solve for x
    x = 15,127,800,773.77/56,269.69
  6. Step 6: Final answer
    x = 268,844.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.