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Finding the Third Proportional to 42,705 and 90,954

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Solution

The third proportional to 42,705 and 90,954 is: 193,715.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,705 : 90,954 = 90,954 : x
  2. Step 2: Convert to fraction form
    42,705/90,954 = 90,954/x
  3. Step 3: Cross multiply
    42,705x = 90,954 × 90,954
  4. Step 4: Simplify right side
    42,705x = 8,272,630,116
  5. Step 5: Solve for x
    x = 8,272,630,116/42,705
  6. Step 6: Final answer
    x = 193,715.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.