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Finding the Third Proportional to 59,976 and 129,168

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Solution

The third proportional to 59,976 and 129,168 is: 278,184.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,976 : 129,168 = 129,168 : x
  2. Step 2: Convert to fraction form
    59,976/129,168 = 129,168/x
  3. Step 3: Cross multiply
    59,976x = 129,168 × 129,168
  4. Step 4: Simplify right side
    59,976x = 16,684,372,224
  5. Step 5: Solve for x
    x = 16,684,372,224/59,976
  6. Step 6: Final answer
    x = 278,184.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.