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Finding the Third Proportional to 33,258 and 71,792

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Solution

The third proportional to 33,258 and 71,792 is: 154,972.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,258 : 71,792 = 71,792 : x
  2. Step 2: Convert to fraction form
    33,258/71,792 = 71,792/x
  3. Step 3: Cross multiply
    33,258x = 71,792 × 71,792
  4. Step 4: Simplify right side
    33,258x = 5,154,091,264
  5. Step 5: Solve for x
    x = 5,154,091,264/33,258
  6. Step 6: Final answer
    x = 154,972.98

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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.