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Finding the Third Proportional to 75,676.69 and 160,577.81

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Solution

The third proportional to 75,676.69 and 160,577.81 is: 340,728.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,676.69 : 160,577.81 = 160,577.81 : x
  2. Step 2: Convert to fraction form
    75,676.69/160,577.81 = 160,577.81/x
  3. Step 3: Cross multiply
    75,676.69x = 160,577.81 × 160,577.81
  4. Step 4: Simplify right side
    75,676.69x = 25,785,233,867.29
  5. Step 5: Solve for x
    x = 25,785,233,867.29/75,676.69
  6. Step 6: Final answer
    x = 340,728.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.