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Finding the Third Proportional to 58,000 and 121,004

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Solution

The third proportional to 58,000 and 121,004 is: 252,447.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,000 : 121,004 = 121,004 : x
  2. Step 2: Convert to fraction form
    58,000/121,004 = 121,004/x
  3. Step 3: Cross multiply
    58,000x = 121,004 × 121,004
  4. Step 4: Simplify right side
    58,000x = 14,641,968,016
  5. Step 5: Solve for x
    x = 14,641,968,016/58,000
  6. Step 6: Final answer
    x = 252,447.72

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.