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Finding the Third Proportional to 67,552 and 146,996

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Solution

The third proportional to 67,552 and 146,996 is: 319,869.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,552 : 146,996 = 146,996 : x
  2. Step 2: Convert to fraction form
    67,552/146,996 = 146,996/x
  3. Step 3: Cross multiply
    67,552x = 146,996 × 146,996
  4. Step 4: Simplify right side
    67,552x = 21,607,824,016
  5. Step 5: Solve for x
    x = 21,607,824,016/67,552
  6. Step 6: Final answer
    x = 319,869.49

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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.