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Finding the Third Proportional to 42,046 and 65,103

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Solution

The third proportional to 42,046 and 65,103 is: 100,803.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,046 : 65,103 = 65,103 : x
  2. Step 2: Convert to fraction form
    42,046/65,103 = 65,103/x
  3. Step 3: Cross multiply
    42,046x = 65,103 × 65,103
  4. Step 4: Simplify right side
    42,046x = 4,238,400,609
  5. Step 5: Solve for x
    x = 4,238,400,609/42,046
  6. Step 6: Final answer
    x = 100,803.90

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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.