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Finding the Third Proportional to 57,213 and 125,330.63

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Solution

The third proportional to 57,213 and 125,330.63 is: 274,548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,213 : 125,330.63 = 125,330.63 : x
  2. Step 2: Convert to fraction form
    57,213/125,330.63 = 125,330.63/x
  3. Step 3: Cross multiply
    57,213x = 125,330.63 × 125,330.63
  4. Step 4: Simplify right side
    57,213x = 15,707,765,562.89
  5. Step 5: Solve for x
    x = 15,707,765,562.89/57,213
  6. Step 6: Final answer
    x = 274,548.89

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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.