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Finding the Third Proportional to 102,395.75 and 160,276.38

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Solution

The third proportional to 102,395.75 and 160,276.38 is: 250,874.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,395.75 : 160,276.38 = 160,276.38 : x
  2. Step 2: Convert to fraction form
    102,395.75/160,276.38 = 160,276.38/x
  3. Step 3: Cross multiply
    102,395.75x = 160,276.38 × 160,276.38
  4. Step 4: Simplify right side
    102,395.75x = 25,688,516,383.14
  5. Step 5: Solve for x
    x = 25,688,516,383.14/102,395.75
  6. Step 6: Final answer
    x = 250,874.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.