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Finding the Third Proportional to 30,099 and 65,220

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Solution

The third proportional to 30,099 and 65,220 is: 141,321.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,099 : 65,220 = 65,220 : x
  2. Step 2: Convert to fraction form
    30,099/65,220 = 65,220/x
  3. Step 3: Cross multiply
    30,099x = 65,220 × 65,220
  4. Step 4: Simplify right side
    30,099x = 4,253,648,400
  5. Step 5: Solve for x
    x = 4,253,648,400/30,099
  6. Step 6: Final answer
    x = 141,321.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.