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Finding the Third Proportional to 100,962.70 and 156,313.55

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Solution

The third proportional to 100,962.70 and 156,313.55 is: 242,009.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,962.70 : 156,313.55 = 156,313.55 : x
  2. Step 2: Convert to fraction form
    100,962.70/156,313.55 = 156,313.55/x
  3. Step 3: Cross multiply
    100,962.70x = 156,313.55 × 156,313.55
  4. Step 4: Simplify right side
    100,962.70x = 24,433,924,936.64
  5. Step 5: Solve for x
    x = 24,433,924,936.64/100,962.70
  6. Step 6: Final answer
    x = 242,009.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.