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Finding the Third Proportional to 94,614 and 142,318

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Solution

The third proportional to 94,614 and 142,318 is: 214,074.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,614 : 142,318 = 142,318 : x
  2. Step 2: Convert to fraction form
    94,614/142,318 = 142,318/x
  3. Step 3: Cross multiply
    94,614x = 142,318 × 142,318
  4. Step 4: Simplify right side
    94,614x = 20,254,413,124
  5. Step 5: Solve for x
    x = 20,254,413,124/94,614
  6. Step 6: Final answer
    x = 214,074.17

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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.