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Finding the Third Proportional to 76,546.13 and 168,036.75

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Solution

The third proportional to 76,546.13 and 168,036.75 is: 368,880.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,546.13 : 168,036.75 = 168,036.75 : x
  2. Step 2: Convert to fraction form
    76,546.13/168,036.75 = 168,036.75/x
  3. Step 3: Cross multiply
    76,546.13x = 168,036.75 × 168,036.75
  4. Step 4: Simplify right side
    76,546.13x = 28,236,349,350.56
  5. Step 5: Solve for x
    x = 28,236,349,350.56/76,546.13
  6. Step 6: Final answer
    x = 368,880.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.