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Finding the Third Proportional to 102,393 and 160,278

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Solution

The third proportional to 102,393 and 160,278 is: 250,886.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,393 : 160,278 = 160,278 : x
  2. Step 2: Convert to fraction form
    102,393/160,278 = 160,278/x
  3. Step 3: Cross multiply
    102,393x = 160,278 × 160,278
  4. Step 4: Simplify right side
    102,393x = 25,689,037,284
  5. Step 5: Solve for x
    x = 25,689,037,284/102,393
  6. Step 6: Final answer
    x = 250,886.66

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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.