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Finding the Third Proportional to 42,394 and 92,078

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Solution

The third proportional to 42,394 and 92,078 is: 199,989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,394 : 92,078 = 92,078 : x
  2. Step 2: Convert to fraction form
    42,394/92,078 = 92,078/x
  3. Step 3: Cross multiply
    42,394x = 92,078 × 92,078
  4. Step 4: Simplify right side
    42,394x = 8,478,358,084
  5. Step 5: Solve for x
    x = 8,478,358,084/42,394
  6. Step 6: Final answer
    x = 199,989.58

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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.