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Finding the Third Proportional to 90,207 and 142,831

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Solution

The third proportional to 90,207 and 142,831 is: 226,154.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,207 : 142,831 = 142,831 : x
  2. Step 2: Convert to fraction form
    90,207/142,831 = 142,831/x
  3. Step 3: Cross multiply
    90,207x = 142,831 × 142,831
  4. Step 4: Simplify right side
    90,207x = 20,400,694,561
  5. Step 5: Solve for x
    x = 20,400,694,561/90,207
  6. Step 6: Final answer
    x = 226,154.23

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.