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Finding the Third Proportional to 98,966 and 159,654

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Solution

The third proportional to 98,966 and 159,654 is: 257,557.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,966 : 159,654 = 159,654 : x
  2. Step 2: Convert to fraction form
    98,966/159,654 = 159,654/x
  3. Step 3: Cross multiply
    98,966x = 159,654 × 159,654
  4. Step 4: Simplify right side
    98,966x = 25,489,399,716
  5. Step 5: Solve for x
    x = 25,489,399,716/98,966
  6. Step 6: Final answer
    x = 257,557.14

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.