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Finding the Third Proportional to 48,654 and 103,586

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Solution

The third proportional to 48,654 and 103,586 is: 220,538.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,654 : 103,586 = 103,586 : x
  2. Step 2: Convert to fraction form
    48,654/103,586 = 103,586/x
  3. Step 3: Cross multiply
    48,654x = 103,586 × 103,586
  4. Step 4: Simplify right side
    48,654x = 10,730,059,396
  5. Step 5: Solve for x
    x = 10,730,059,396/48,654
  6. Step 6: Final answer
    x = 220,538.07

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