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Finding the Third Proportional to 98,964 and 159,651

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Solution

The third proportional to 98,964 and 159,651 is: 257,552.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,964 : 159,651 = 159,651 : x
  2. Step 2: Convert to fraction form
    98,964/159,651 = 159,651/x
  3. Step 3: Cross multiply
    98,964x = 159,651 × 159,651
  4. Step 4: Simplify right side
    98,964x = 25,488,441,801
  5. Step 5: Solve for x
    x = 25,488,441,801/98,964
  6. Step 6: Final answer
    x = 257,552.66

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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.