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Finding the Third Proportional to 94,864 and 142,548

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Solution

The third proportional to 94,864 and 142,548 is: 214,200.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,864 : 142,548 = 142,548 : x
  2. Step 2: Convert to fraction form
    94,864/142,548 = 142,548/x
  3. Step 3: Cross multiply
    94,864x = 142,548 × 142,548
  4. Step 4: Simplify right side
    94,864x = 20,319,932,304
  5. Step 5: Solve for x
    x = 20,319,932,304/94,864
  6. Step 6: Final answer
    x = 214,200.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.