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Finding the Third Proportional to 67,553 and 146,998

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Solution

The third proportional to 67,553 and 146,998 is: 319,873.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,553 : 146,998 = 146,998 : x
  2. Step 2: Convert to fraction form
    67,553/146,998 = 146,998/x
  3. Step 3: Cross multiply
    67,553x = 146,998 × 146,998
  4. Step 4: Simplify right side
    67,553x = 21,608,412,004
  5. Step 5: Solve for x
    x = 21,608,412,004/67,553
  6. Step 6: Final answer
    x = 319,873.46

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.