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Finding the Third Proportional to 94,846 and 142,023

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Solution

The third proportional to 94,846 and 142,023 is: 212,666.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,846 : 142,023 = 142,023 : x
  2. Step 2: Convert to fraction form
    94,846/142,023 = 142,023/x
  3. Step 3: Cross multiply
    94,846x = 142,023 × 142,023
  4. Step 4: Simplify right side
    94,846x = 20,170,532,529
  5. Step 5: Solve for x
    x = 20,170,532,529/94,846
  6. Step 6: Final answer
    x = 212,666.14

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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.