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Finding the Third Proportional to 60,004 and 132,296

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Solution

The third proportional to 60,004 and 132,296 is: 291,684.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,004 : 132,296 = 132,296 : x
  2. Step 2: Convert to fraction form
    60,004/132,296 = 132,296/x
  3. Step 3: Cross multiply
    60,004x = 132,296 × 132,296
  4. Step 4: Simplify right side
    60,004x = 17,502,231,616
  5. Step 5: Solve for x
    x = 17,502,231,616/60,004
  6. Step 6: Final answer
    x = 291,684.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.