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Finding the Third Proportional to 57,560 and 125,788

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Solution

The third proportional to 57,560 and 125,788 is: 274,889.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,560 : 125,788 = 125,788 : x
  2. Step 2: Convert to fraction form
    57,560/125,788 = 125,788/x
  3. Step 3: Cross multiply
    57,560x = 125,788 × 125,788
  4. Step 4: Simplify right side
    57,560x = 15,822,620,944
  5. Step 5: Solve for x
    x = 15,822,620,944/57,560
  6. Step 6: Final answer
    x = 274,889.18

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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.