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Finding the Third Proportional to 101,492 and 141,892

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Solution

The third proportional to 101,492 and 141,892 is: 198,373.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,492 : 141,892 = 141,892 : x
  2. Step 2: Convert to fraction form
    101,492/141,892 = 141,892/x
  3. Step 3: Cross multiply
    101,492x = 141,892 × 141,892
  4. Step 4: Simplify right side
    101,492x = 20,133,339,664
  5. Step 5: Solve for x
    x = 20,133,339,664/101,492
  6. Step 6: Final answer
    x = 198,373.66

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