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Finding the Third Proportional to 72,498 and 159,714

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Solution

The third proportional to 72,498 and 159,714 is: 351,851.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,498 : 159,714 = 159,714 : x
  2. Step 2: Convert to fraction form
    72,498/159,714 = 159,714/x
  3. Step 3: Cross multiply
    72,498x = 159,714 × 159,714
  4. Step 4: Simplify right side
    72,498x = 25,508,561,796
  5. Step 5: Solve for x
    x = 25,508,561,796/72,498
  6. Step 6: Final answer
    x = 351,851.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.