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Finding the Third Proportional to 94,852 and 142,030

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Solution

The third proportional to 94,852 and 142,030 is: 212,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,852 : 142,030 = 142,030 : x
  2. Step 2: Convert to fraction form
    94,852/142,030 = 142,030/x
  3. Step 3: Cross multiply
    94,852x = 142,030 × 142,030
  4. Step 4: Simplify right side
    94,852x = 20,172,520,900
  5. Step 5: Solve for x
    x = 20,172,520,900/94,852
  6. Step 6: Final answer
    x = 212,673.65

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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.