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Finding the Third Proportional to 102,697 and 155,442

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Solution

The third proportional to 102,697 and 155,442 is: 235,276.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,697 : 155,442 = 155,442 : x
  2. Step 2: Convert to fraction form
    102,697/155,442 = 155,442/x
  3. Step 3: Cross multiply
    102,697x = 155,442 × 155,442
  4. Step 4: Simplify right side
    102,697x = 24,162,215,364
  5. Step 5: Solve for x
    x = 24,162,215,364/102,697
  6. Step 6: Final answer
    x = 235,276.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.