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Finding the Third Proportional to 33,117 and 70,968.75

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Solution

The third proportional to 33,117 and 70,968.75 is: 152,083.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,117 : 70,968.75 = 70,968.75 : x
  2. Step 2: Convert to fraction form
    33,117/70,968.75 = 70,968.75/x
  3. Step 3: Cross multiply
    33,117x = 70,968.75 × 70,968.75
  4. Step 4: Simplify right side
    33,117x = 5,036,563,476.56
  5. Step 5: Solve for x
    x = 5,036,563,476.56/33,117
  6. Step 6: Final answer
    x = 152,083.93

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.