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Finding the Third Proportional to 45,069 and 97,540.50

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Solution

The third proportional to 45,069 and 97,540.50 is: 211,101.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,069 : 97,540.50 = 97,540.50 : x
  2. Step 2: Convert to fraction form
    45,069/97,540.50 = 97,540.50/x
  3. Step 3: Cross multiply
    45,069x = 97,540.50 × 97,540.50
  4. Step 4: Simplify right side
    45,069x = 9,514,149,140.25
  5. Step 5: Solve for x
    x = 9,514,149,140.25/45,069
  6. Step 6: Final answer
    x = 211,101.85

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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.