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Finding the Third Proportional to 60,996 and 95,054

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Solution

The third proportional to 60,996 and 95,054 is: 148,128.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,996 : 95,054 = 95,054 : x
  2. Step 2: Convert to fraction form
    60,996/95,054 = 95,054/x
  3. Step 3: Cross multiply
    60,996x = 95,054 × 95,054
  4. Step 4: Simplify right side
    60,996x = 9,035,262,916
  5. Step 5: Solve for x
    x = 9,035,262,916/60,996
  6. Step 6: Final answer
    x = 148,128.78

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.