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Finding the Third Proportional to 94,628 and 142,337

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Solution

The third proportional to 94,628 and 142,337 is: 214,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,628 : 142,337 = 142,337 : x
  2. Step 2: Convert to fraction form
    94,628/142,337 = 142,337/x
  3. Step 3: Cross multiply
    94,628x = 142,337 × 142,337
  4. Step 4: Simplify right side
    94,628x = 20,259,821,569
  5. Step 5: Solve for x
    x = 20,259,821,569/94,628
  6. Step 6: Final answer
    x = 214,099.65

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Why These Related Problems?

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