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Finding the Third Proportional to 55,088 and 118,921

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Solution

The third proportional to 55,088 and 118,921 is: 256,720.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,088 : 118,921 = 118,921 : x
  2. Step 2: Convert to fraction form
    55,088/118,921 = 118,921/x
  3. Step 3: Cross multiply
    55,088x = 118,921 × 118,921
  4. Step 4: Simplify right side
    55,088x = 14,142,204,241
  5. Step 5: Solve for x
    x = 14,142,204,241/55,088
  6. Step 6: Final answer
    x = 256,720.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.