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Finding the Third Proportional to 57,654 and 122,142

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Solution

The third proportional to 57,654 and 122,142 is: 258,762.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,654 : 122,142 = 122,142 : x
  2. Step 2: Convert to fraction form
    57,654/122,142 = 122,142/x
  3. Step 3: Cross multiply
    57,654x = 122,142 × 122,142
  4. Step 4: Simplify right side
    57,654x = 14,918,668,164
  5. Step 5: Solve for x
    x = 14,918,668,164/57,654
  6. Step 6: Final answer
    x = 258,762.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.