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Finding the Third Proportional to 102,392 and 160,277

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Solution

The third proportional to 102,392 and 160,277 is: 250,885.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,392 : 160,277 = 160,277 : x
  2. Step 2: Convert to fraction form
    102,392/160,277 = 160,277/x
  3. Step 3: Cross multiply
    102,392x = 160,277 × 160,277
  4. Step 4: Simplify right side
    102,392x = 25,688,716,729
  5. Step 5: Solve for x
    x = 25,688,716,729/102,392
  6. Step 6: Final answer
    x = 250,885.97

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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.