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Finding the Third Proportional to 57,148 and 125,365

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Solution

The third proportional to 57,148 and 125,365 is: 275,011.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,148 : 125,365 = 125,365 : x
  2. Step 2: Convert to fraction form
    57,148/125,365 = 125,365/x
  3. Step 3: Cross multiply
    57,148x = 125,365 × 125,365
  4. Step 4: Simplify right side
    57,148x = 15,716,383,225
  5. Step 5: Solve for x
    x = 15,716,383,225/57,148
  6. Step 6: Final answer
    x = 275,011.96

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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.