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Finding the Third Proportional to 101,492.25 and 141,891.75

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Solution

The third proportional to 101,492.25 and 141,891.75 is: 198,372.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,492.25 : 141,891.75 = 141,891.75 : x
  2. Step 2: Convert to fraction form
    101,492.25/141,891.75 = 141,891.75/x
  3. Step 3: Cross multiply
    101,492.25x = 141,891.75 × 141,891.75
  4. Step 4: Simplify right side
    101,492.25x = 20,133,268,718.06
  5. Step 5: Solve for x
    x = 20,133,268,718.06/101,492.25
  6. Step 6: Final answer
    x = 198,372.47

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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.