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Finding the Third Proportional to 100,892 and 141,397.75

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Solution

The third proportional to 100,892 and 141,397.75 is: 198,165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,892 : 141,397.75 = 141,397.75 : x
  2. Step 2: Convert to fraction form
    100,892/141,397.75 = 141,397.75/x
  3. Step 3: Cross multiply
    100,892x = 141,397.75 × 141,397.75
  4. Step 4: Simplify right side
    100,892x = 19,993,323,705.06
  5. Step 5: Solve for x
    x = 19,993,323,705.06/100,892
  6. Step 6: Final answer
    x = 198,165.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.