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Finding the Third Proportional to 94,597 and 141,634

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Solution

The third proportional to 94,597 and 141,634 is: 212,059.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,597 : 141,634 = 141,634 : x
  2. Step 2: Convert to fraction form
    94,597/141,634 = 141,634/x
  3. Step 3: Cross multiply
    94,597x = 141,634 × 141,634
  4. Step 4: Simplify right side
    94,597x = 20,060,189,956
  5. Step 5: Solve for x
    x = 20,060,189,956/94,597
  6. Step 6: Final answer
    x = 212,059.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.