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Finding the Third Proportional to 65,849 and 99,348

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Solution

The third proportional to 65,849 and 99,348 is: 149,888.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,849 : 99,348 = 99,348 : x
  2. Step 2: Convert to fraction form
    65,849/99,348 = 99,348/x
  3. Step 3: Cross multiply
    65,849x = 99,348 × 99,348
  4. Step 4: Simplify right side
    65,849x = 9,870,025,104
  5. Step 5: Solve for x
    x = 9,870,025,104/65,849
  6. Step 6: Final answer
    x = 149,888.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.