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Finding the Third Proportional to 42,770 and 92,452

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Solution

The third proportional to 42,770 and 92,452 is: 199,845.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,770 : 92,452 = 92,452 : x
  2. Step 2: Convert to fraction form
    42,770/92,452 = 92,452/x
  3. Step 3: Cross multiply
    42,770x = 92,452 × 92,452
  4. Step 4: Simplify right side
    42,770x = 8,547,372,304
  5. Step 5: Solve for x
    x = 8,547,372,304/42,770
  6. Step 6: Final answer
    x = 199,845.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.