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Finding the Third Proportional to 57,880 and 118,832

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Solution

The third proportional to 57,880 and 118,832 is: 243,971.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,880 : 118,832 = 118,832 : x
  2. Step 2: Convert to fraction form
    57,880/118,832 = 118,832/x
  3. Step 3: Cross multiply
    57,880x = 118,832 × 118,832
  4. Step 4: Simplify right side
    57,880x = 14,121,044,224
  5. Step 5: Solve for x
    x = 14,121,044,224/57,880
  6. Step 6: Final answer
    x = 243,971.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.