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Finding the Third Proportional to 102,213.56 and 156,891.94

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Solution

The third proportional to 102,213.56 and 156,891.94 is: 240,820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,213.56 : 156,891.94 = 156,891.94 : x
  2. Step 2: Convert to fraction form
    102,213.56/156,891.94 = 156,891.94/x
  3. Step 3: Cross multiply
    102,213.56x = 156,891.94 × 156,891.94
  4. Step 4: Simplify right side
    102,213.56x = 24,615,080,052.50
  5. Step 5: Solve for x
    x = 24,615,080,052.50/102,213.56
  6. Step 6: Final answer
    x = 240,820.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.