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Finding the Third Proportional to 68,998 and 147,836

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Solution

The third proportional to 68,998 and 147,836 is: 316,755.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,998 : 147,836 = 147,836 : x
  2. Step 2: Convert to fraction form
    68,998/147,836 = 147,836/x
  3. Step 3: Cross multiply
    68,998x = 147,836 × 147,836
  4. Step 4: Simplify right side
    68,998x = 21,855,482,896
  5. Step 5: Solve for x
    x = 21,855,482,896/68,998
  6. Step 6: Final answer
    x = 316,755.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.