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Finding the Third Proportional to 71,598 and 154,996

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Solution

The third proportional to 71,598 and 154,996 is: 335,536.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,598 : 154,996 = 154,996 : x
  2. Step 2: Convert to fraction form
    71,598/154,996 = 154,996/x
  3. Step 3: Cross multiply
    71,598x = 154,996 × 154,996
  4. Step 4: Simplify right side
    71,598x = 24,023,760,016
  5. Step 5: Solve for x
    x = 24,023,760,016/71,598
  6. Step 6: Final answer
    x = 335,536.75

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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.