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Finding the Third Proportional to 68,463 and 147,111

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Solution

The third proportional to 68,463 and 147,111 is: 316,107.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,463 : 147,111 = 147,111 : x
  2. Step 2: Convert to fraction form
    68,463/147,111 = 147,111/x
  3. Step 3: Cross multiply
    68,463x = 147,111 × 147,111
  4. Step 4: Simplify right side
    68,463x = 21,641,646,321
  5. Step 5: Solve for x
    x = 21,641,646,321/68,463
  6. Step 6: Final answer
    x = 316,107.19

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.