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Finding the Third Proportional to 75,216 and 162,960

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Solution

The third proportional to 75,216 and 162,960 is: 353,062.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,216 : 162,960 = 162,960 : x
  2. Step 2: Convert to fraction form
    75,216/162,960 = 162,960/x
  3. Step 3: Cross multiply
    75,216x = 162,960 × 162,960
  4. Step 4: Simplify right side
    75,216x = 26,555,961,600
  5. Step 5: Solve for x
    x = 26,555,961,600/75,216
  6. Step 6: Final answer
    x = 353,062.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.