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Finding the Third Proportional to 62,567.44 and 96,961.22

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Solution

The third proportional to 62,567.44 and 96,961.22 is: 150,261.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,567.44 : 96,961.22 = 96,961.22 : x
  2. Step 2: Convert to fraction form
    62,567.44/96,961.22 = 96,961.22/x
  3. Step 3: Cross multiply
    62,567.44x = 96,961.22 × 96,961.22
  4. Step 4: Simplify right side
    62,567.44x = 9,401,477,941.49
  5. Step 5: Solve for x
    x = 9,401,477,941.49/62,567.44
  6. Step 6: Final answer
    x = 150,261.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.