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Finding the Third Proportional to 120,353.63 and 168,253.88

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Solution

The third proportional to 120,353.63 and 168,253.88 is: 235,218.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,353.63 : 168,253.88 = 168,253.88 : x
  2. Step 2: Convert to fraction form
    120,353.63/168,253.88 = 168,253.88/x
  3. Step 3: Cross multiply
    120,353.63x = 168,253.88 × 168,253.88
  4. Step 4: Simplify right side
    120,353.63x = 28,309,366,452.52
  5. Step 5: Solve for x
    x = 28,309,366,452.52/120,353.63
  6. Step 6: Final answer
    x = 235,218.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.