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Finding the Third Proportional to 57,354 and 125,778

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Solution

The third proportional to 57,354 and 125,778 is: 275,832.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,354 : 125,778 = 125,778 : x
  2. Step 2: Convert to fraction form
    57,354/125,778 = 125,778/x
  3. Step 3: Cross multiply
    57,354x = 125,778 × 125,778
  4. Step 4: Simplify right side
    57,354x = 15,820,105,284
  5. Step 5: Solve for x
    x = 15,820,105,284/57,354
  6. Step 6: Final answer
    x = 275,832.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.