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Finding the Third Proportional to 42,656 and 92,964

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Solution

The third proportional to 42,656 and 92,964 is: 202,604.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,656 : 92,964 = 92,964 : x
  2. Step 2: Convert to fraction form
    42,656/92,964 = 92,964/x
  3. Step 3: Cross multiply
    42,656x = 92,964 × 92,964
  4. Step 4: Simplify right side
    42,656x = 8,642,305,296
  5. Step 5: Solve for x
    x = 8,642,305,296/42,656
  6. Step 6: Final answer
    x = 202,604.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.