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Finding the Third Proportional to 58,393 and 120,937

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Solution

The third proportional to 58,393 and 120,937 is: 250,471.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,393 : 120,937 = 120,937 : x
  2. Step 2: Convert to fraction form
    58,393/120,937 = 120,937/x
  3. Step 3: Cross multiply
    58,393x = 120,937 × 120,937
  4. Step 4: Simplify right side
    58,393x = 14,625,757,969
  5. Step 5: Solve for x
    x = 14,625,757,969/58,393
  6. Step 6: Final answer
    x = 250,471.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.