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Finding the Third Proportional to 92,976 and 190,854

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Solution

The third proportional to 92,976 and 190,854 is: 391,770.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,976 : 190,854 = 190,854 : x
  2. Step 2: Convert to fraction form
    92,976/190,854 = 190,854/x
  3. Step 3: Cross multiply
    92,976x = 190,854 × 190,854
  4. Step 4: Simplify right side
    92,976x = 36,425,249,316
  5. Step 5: Solve for x
    x = 36,425,249,316/92,976
  6. Step 6: Final answer
    x = 391,770.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.