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Finding the Third Proportional to 92,959 and 190,862

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Solution

The third proportional to 92,959 and 190,862 is: 391,874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,959 : 190,862 = 190,862 : x
  2. Step 2: Convert to fraction form
    92,959/190,862 = 190,862/x
  3. Step 3: Cross multiply
    92,959x = 190,862 × 190,862
  4. Step 4: Simplify right side
    92,959x = 36,428,303,044
  5. Step 5: Solve for x
    x = 36,428,303,044/92,959
  6. Step 6: Final answer
    x = 391,874.95

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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.