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Finding the Third Proportional to 94,626 and 142,334

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Solution

The third proportional to 94,626 and 142,334 is: 214,095.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,626 : 142,334 = 142,334 : x
  2. Step 2: Convert to fraction form
    94,626/142,334 = 142,334/x
  3. Step 3: Cross multiply
    94,626x = 142,334 × 142,334
  4. Step 4: Simplify right side
    94,626x = 20,258,967,556
  5. Step 5: Solve for x
    x = 20,258,967,556/94,626
  6. Step 6: Final answer
    x = 214,095.15

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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.