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Finding the Third Proportional to 92,716 and 198,560

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Solution

The third proportional to 92,716 and 198,560 is: 425,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,716 : 198,560 = 198,560 : x
  2. Step 2: Convert to fraction form
    92,716/198,560 = 198,560/x
  3. Step 3: Cross multiply
    92,716x = 198,560 × 198,560
  4. Step 4: Simplify right side
    92,716x = 39,426,073,600
  5. Step 5: Solve for x
    x = 39,426,073,600/92,716
  6. Step 6: Final answer
    x = 425,234.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.