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Finding the Third Proportional to 71,574 and 154,932

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Solution

The third proportional to 71,574 and 154,932 is: 335,372.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,574 : 154,932 = 154,932 : x
  2. Step 2: Convert to fraction form
    71,574/154,932 = 154,932/x
  3. Step 3: Cross multiply
    71,574x = 154,932 × 154,932
  4. Step 4: Simplify right side
    71,574x = 24,003,924,624
  5. Step 5: Solve for x
    x = 24,003,924,624/71,574
  6. Step 6: Final answer
    x = 335,372.13

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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.