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Finding the Third Proportional to 42,824 and 92,956

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Solution

The third proportional to 42,824 and 92,956 is: 201,775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,824 : 92,956 = 92,956 : x
  2. Step 2: Convert to fraction form
    42,824/92,956 = 92,956/x
  3. Step 3: Cross multiply
    42,824x = 92,956 × 92,956
  4. Step 4: Simplify right side
    42,824x = 8,640,817,936
  5. Step 5: Solve for x
    x = 8,640,817,936/42,824
  6. Step 6: Final answer
    x = 201,775.12

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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.