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Finding the Third Proportional to 42,863 and 94,030

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Solution

The third proportional to 42,863 and 94,030 is: 206,276.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,863 : 94,030 = 94,030 : x
  2. Step 2: Convert to fraction form
    42,863/94,030 = 94,030/x
  3. Step 3: Cross multiply
    42,863x = 94,030 × 94,030
  4. Step 4: Simplify right side
    42,863x = 8,841,640,900
  5. Step 5: Solve for x
    x = 8,841,640,900/42,863
  6. Step 6: Final answer
    x = 206,276.76

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.