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Finding the Third Proportional to 71,067 and 97,636.50

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Solution

The third proportional to 71,067 and 97,636.50 is: 134,139.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,067 : 97,636.50 = 97,636.50 : x
  2. Step 2: Convert to fraction form
    71,067/97,636.50 = 97,636.50/x
  3. Step 3: Cross multiply
    71,067x = 97,636.50 × 97,636.50
  4. Step 4: Simplify right side
    71,067x = 9,532,886,132.25
  5. Step 5: Solve for x
    x = 9,532,886,132.25/71,067
  6. Step 6: Final answer
    x = 134,139.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.