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Finding the Third Proportional to 54,592 and 119,168

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Solution

The third proportional to 54,592 and 119,168 is: 260,129.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,592 : 119,168 = 119,168 : x
  2. Step 2: Convert to fraction form
    54,592/119,168 = 119,168/x
  3. Step 3: Cross multiply
    54,592x = 119,168 × 119,168
  4. Step 4: Simplify right side
    54,592x = 14,201,012,224
  5. Step 5: Solve for x
    x = 14,201,012,224/54,592
  6. Step 6: Final answer
    x = 260,129.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.