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Finding the Third Proportional to 108,137 and 248,900

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Solution

The third proportional to 108,137 and 248,900 is: 572,895.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,137 : 248,900 = 248,900 : x
  2. Step 2: Convert to fraction form
    108,137/248,900 = 248,900/x
  3. Step 3: Cross multiply
    108,137x = 248,900 × 248,900
  4. Step 4: Simplify right side
    108,137x = 61,951,210,000
  5. Step 5: Solve for x
    x = 61,951,210,000/108,137
  6. Step 6: Final answer
    x = 572,895.59

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.