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Finding the Third Proportional to 75,679 and 162,224

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Solution

The third proportional to 75,679 and 162,224 is: 347,740.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,679 : 162,224 = 162,224 : x
  2. Step 2: Convert to fraction form
    75,679/162,224 = 162,224/x
  3. Step 3: Cross multiply
    75,679x = 162,224 × 162,224
  4. Step 4: Simplify right side
    75,679x = 26,316,626,176
  5. Step 5: Solve for x
    x = 26,316,626,176/75,679
  6. Step 6: Final answer
    x = 347,740.14

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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.