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Finding the Third Proportional to 42,342 and 88,950

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Solution

The third proportional to 42,342 and 88,950 is: 186,861.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,342 : 88,950 = 88,950 : x
  2. Step 2: Convert to fraction form
    42,342/88,950 = 88,950/x
  3. Step 3: Cross multiply
    42,342x = 88,950 × 88,950
  4. Step 4: Simplify right side
    42,342x = 7,912,102,500
  5. Step 5: Solve for x
    x = 7,912,102,500/42,342
  6. Step 6: Final answer
    x = 186,861.80

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.