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Finding the Third Proportional to 42,918 and 92,460

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Solution

The third proportional to 42,918 and 92,460 is: 199,190.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,918 : 92,460 = 92,460 : x
  2. Step 2: Convert to fraction form
    42,918/92,460 = 92,460/x
  3. Step 3: Cross multiply
    42,918x = 92,460 × 92,460
  4. Step 4: Simplify right side
    42,918x = 8,548,851,600
  5. Step 5: Solve for x
    x = 8,548,851,600/42,918
  6. Step 6: Final answer
    x = 199,190.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.