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Finding the Third Proportional to 102,399 and 160,287

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Solution

The third proportional to 102,399 and 160,287 is: 250,900.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,399 : 160,287 = 160,287 : x
  2. Step 2: Convert to fraction form
    102,399/160,287 = 160,287/x
  3. Step 3: Cross multiply
    102,399x = 160,287 × 160,287
  4. Step 4: Simplify right side
    102,399x = 25,691,922,369
  5. Step 5: Solve for x
    x = 25,691,922,369/102,399
  6. Step 6: Final answer
    x = 250,900.13

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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.