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Finding the Third Proportional to 102,797.25 and 158,865

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Solution

The third proportional to 102,797.25 and 158,865 is: 245,513.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,797.25 : 158,865 = 158,865 : x
  2. Step 2: Convert to fraction form
    102,797.25/158,865 = 158,865/x
  3. Step 3: Cross multiply
    102,797.25x = 158,865 × 158,865
  4. Step 4: Simplify right side
    102,797.25x = 25,238,088,225
  5. Step 5: Solve for x
    x = 25,238,088,225/102,797.25
  6. Step 6: Final answer
    x = 245,513.26

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.