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Finding the Third Proportional to 55,267.73 and 118,421.16

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Solution

The third proportional to 55,267.73 and 118,421.16 is: 253,738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,267.73 : 118,421.16 = 118,421.16 : x
  2. Step 2: Convert to fraction form
    55,267.73/118,421.16 = 118,421.16/x
  3. Step 3: Cross multiply
    55,267.73x = 118,421.16 × 118,421.16
  4. Step 4: Simplify right side
    55,267.73x = 14,023,570,247.59
  5. Step 5: Solve for x
    x = 14,023,570,247.59/55,267.73
  6. Step 6: Final answer
    x = 253,738.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.