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Finding the Third Proportional to 33,254 and 72,748

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Solution

The third proportional to 33,254 and 72,748 is: 159,146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,254 : 72,748 = 72,748 : x
  2. Step 2: Convert to fraction form
    33,254/72,748 = 72,748/x
  3. Step 3: Cross multiply
    33,254x = 72,748 × 72,748
  4. Step 4: Simplify right side
    33,254x = 5,292,271,504
  5. Step 5: Solve for x
    x = 5,292,271,504/33,254
  6. Step 6: Final answer
    x = 159,146.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.