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Finding the Third Proportional to 56,155.36 and 122,673.66

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Solution

The third proportional to 56,155.36 and 122,673.66 is: 267,985.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,155.36 : 122,673.66 = 122,673.66 : x
  2. Step 2: Convert to fraction form
    56,155.36/122,673.66 = 122,673.66/x
  3. Step 3: Cross multiply
    56,155.36x = 122,673.66 × 122,673.66
  4. Step 4: Simplify right side
    56,155.36x = 15,048,825,937.74
  5. Step 5: Solve for x
    x = 15,048,825,937.74/56,155.36
  6. Step 6: Final answer
    x = 267,985.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.