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Finding the Third Proportional to 67,983 and 146,900

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Solution

The third proportional to 67,983 and 146,900 is: 317,426.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,983 : 146,900 = 146,900 : x
  2. Step 2: Convert to fraction form
    67,983/146,900 = 146,900/x
  3. Step 3: Cross multiply
    67,983x = 146,900 × 146,900
  4. Step 4: Simplify right side
    67,983x = 21,579,610,000
  5. Step 5: Solve for x
    x = 21,579,610,000/67,983
  6. Step 6: Final answer
    x = 317,426.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.