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Finding the Third Proportional to 71,086 and 149,548

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Solution

The third proportional to 71,086 and 149,548 is: 314,613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,086 : 149,548 = 149,548 : x
  2. Step 2: Convert to fraction form
    71,086/149,548 = 149,548/x
  3. Step 3: Cross multiply
    71,086x = 149,548 × 149,548
  4. Step 4: Simplify right side
    71,086x = 22,364,604,304
  5. Step 5: Solve for x
    x = 22,364,604,304/71,086
  6. Step 6: Final answer
    x = 314,613.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.