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Finding the Third Proportional to 53,991 and 118,719

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Solution

The third proportional to 53,991 and 118,719 is: 261,047.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,991 : 118,719 = 118,719 : x
  2. Step 2: Convert to fraction form
    53,991/118,719 = 118,719/x
  3. Step 3: Cross multiply
    53,991x = 118,719 × 118,719
  4. Step 4: Simplify right side
    53,991x = 14,094,200,961
  5. Step 5: Solve for x
    x = 14,094,200,961/53,991
  6. Step 6: Final answer
    x = 261,047.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.