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Finding the Third Proportional to 79,724 and 169,168

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Solution

The third proportional to 79,724 and 169,168 is: 358,961.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,724 : 169,168 = 169,168 : x
  2. Step 2: Convert to fraction form
    79,724/169,168 = 169,168/x
  3. Step 3: Cross multiply
    79,724x = 169,168 × 169,168
  4. Step 4: Simplify right side
    79,724x = 28,617,812,224
  5. Step 5: Solve for x
    x = 28,617,812,224/79,724
  6. Step 6: Final answer
    x = 358,961.07

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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.