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Finding the Third Proportional to 55,327.64 and 118,543.92

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Solution

The third proportional to 55,327.64 and 118,543.92 is: 253,989.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,327.64 : 118,543.92 = 118,543.92 : x
  2. Step 2: Convert to fraction form
    55,327.64/118,543.92 = 118,543.92/x
  3. Step 3: Cross multiply
    55,327.64x = 118,543.92 × 118,543.92
  4. Step 4: Simplify right side
    55,327.64x = 14,052,661,413.51
  5. Step 5: Solve for x
    x = 14,052,661,413.51/55,327.64
  6. Step 6: Final answer
    x = 253,989.89

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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.