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Finding the Third Proportional to 58,038 and 123,666

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Solution

The third proportional to 58,038 and 123,666 is: 263,504.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,038 : 123,666 = 123,666 : x
  2. Step 2: Convert to fraction form
    58,038/123,666 = 123,666/x
  3. Step 3: Cross multiply
    58,038x = 123,666 × 123,666
  4. Step 4: Simplify right side
    58,038x = 15,293,279,556
  5. Step 5: Solve for x
    x = 15,293,279,556/58,038
  6. Step 6: Final answer
    x = 263,504.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.