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Finding the Third Proportional to 42,042 and 65,099

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Solution

The third proportional to 42,042 and 65,099 is: 100,801.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,042 : 65,099 = 65,099 : x
  2. Step 2: Convert to fraction form
    42,042/65,099 = 65,099/x
  3. Step 3: Cross multiply
    42,042x = 65,099 × 65,099
  4. Step 4: Simplify right side
    42,042x = 4,237,879,801
  5. Step 5: Solve for x
    x = 4,237,879,801/42,042
  6. Step 6: Final answer
    x = 100,801.10

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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.