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Finding the Third Proportional to 71,574.75 and 149,034.38

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Solution

The third proportional to 71,574.75 and 149,034.38 is: 310,322.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,574.75 : 149,034.38 = 149,034.38 : x
  2. Step 2: Convert to fraction form
    71,574.75/149,034.38 = 149,034.38/x
  3. Step 3: Cross multiply
    71,574.75x = 149,034.38 × 149,034.38
  4. Step 4: Simplify right side
    71,574.75x = 22,211,244,931.64
  5. Step 5: Solve for x
    x = 22,211,244,931.64/71,574.75
  6. Step 6: Final answer
    x = 310,322.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.