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Finding the Third Proportional to 68,526.75 and 102,790.13

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Solution

The third proportional to 68,526.75 and 102,790.13 is: 154,185.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,526.75 : 102,790.13 = 102,790.13 : x
  2. Step 2: Convert to fraction form
    68,526.75/102,790.13 = 102,790.13/x
  3. Step 3: Cross multiply
    68,526.75x = 102,790.13 × 102,790.13
  4. Step 4: Simplify right side
    68,526.75x = 10,565,809,797.52
  5. Step 5: Solve for x
    x = 10,565,809,797.52/68,526.75
  6. Step 6: Final answer
    x = 154,185.19

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Why These Related Problems?

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