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Finding the Third Proportional to 28,099 and 60,196

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Solution

The third proportional to 28,099 and 60,196 is: 128,956.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,099 : 60,196 = 60,196 : x
  2. Step 2: Convert to fraction form
    28,099/60,196 = 60,196/x
  3. Step 3: Cross multiply
    28,099x = 60,196 × 60,196
  4. Step 4: Simplify right side
    28,099x = 3,623,558,416
  5. Step 5: Solve for x
    x = 3,623,558,416/28,099
  6. Step 6: Final answer
    x = 128,956.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.