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Finding the Third Proportional to 94,872 and 142,933

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Solution

The third proportional to 94,872 and 142,933 is: 215,341.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,872 : 142,933 = 142,933 : x
  2. Step 2: Convert to fraction form
    94,872/142,933 = 142,933/x
  3. Step 3: Cross multiply
    94,872x = 142,933 × 142,933
  4. Step 4: Simplify right side
    94,872x = 20,429,842,489
  5. Step 5: Solve for x
    x = 20,429,842,489/94,872
  6. Step 6: Final answer
    x = 215,341.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.