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Finding the Third Proportional to 102,568 and 157,442

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Solution

The third proportional to 102,568 and 157,442 is: 241,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,568 : 157,442 = 157,442 : x
  2. Step 2: Convert to fraction form
    102,568/157,442 = 157,442/x
  3. Step 3: Cross multiply
    102,568x = 157,442 × 157,442
  4. Step 4: Simplify right side
    102,568x = 24,787,983,364
  5. Step 5: Solve for x
    x = 24,787,983,364/102,568
  6. Step 6: Final answer
    x = 241,673.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.