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Finding the Third Proportional to 68,417.16 and 102,351.09

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Solution

The third proportional to 68,417.16 and 102,351.09 is: 153,115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,417.16 : 102,351.09 = 102,351.09 : x
  2. Step 2: Convert to fraction form
    68,417.16/102,351.09 = 102,351.09/x
  3. Step 3: Cross multiply
    68,417.16x = 102,351.09 × 102,351.09
  4. Step 4: Simplify right side
    68,417.16x = 10,475,746,391.82
  5. Step 5: Solve for x
    x = 10,475,746,391.82/68,417.16
  6. Step 6: Final answer
    x = 153,115.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.