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Finding the Third Proportional to 79,722 and 118,043

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Solution

The third proportional to 79,722 and 118,043 is: 174,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,722 : 118,043 = 118,043 : x
  2. Step 2: Convert to fraction form
    79,722/118,043 = 118,043/x
  3. Step 3: Cross multiply
    79,722x = 118,043 × 118,043
  4. Step 4: Simplify right side
    79,722x = 13,934,149,849
  5. Step 5: Solve for x
    x = 13,934,149,849/79,722
  6. Step 6: Final answer
    x = 174,784.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.