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Finding the Third Proportional to 75,150 and 160,964

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Solution

The third proportional to 75,150 and 160,964 is: 344,769.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,150 : 160,964 = 160,964 : x
  2. Step 2: Convert to fraction form
    75,150/160,964 = 160,964/x
  3. Step 3: Cross multiply
    75,150x = 160,964 × 160,964
  4. Step 4: Simplify right side
    75,150x = 25,909,409,296
  5. Step 5: Solve for x
    x = 25,909,409,296/75,150
  6. Step 6: Final answer
    x = 344,769.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.