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Finding the Third Proportional to 58,224 and 125,718

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Solution

The third proportional to 58,224 and 125,718 is: 271,451.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,224 : 125,718 = 125,718 : x
  2. Step 2: Convert to fraction form
    58,224/125,718 = 125,718/x
  3. Step 3: Cross multiply
    58,224x = 125,718 × 125,718
  4. Step 4: Simplify right side
    58,224x = 15,805,015,524
  5. Step 5: Solve for x
    x = 15,805,015,524/58,224
  6. Step 6: Final answer
    x = 271,451.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.