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Finding the Third Proportional to 76,252 and 110,004

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Solution

The third proportional to 76,252 and 110,004 is: 158,695.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,252 : 110,004 = 110,004 : x
  2. Step 2: Convert to fraction form
    76,252/110,004 = 110,004/x
  3. Step 3: Cross multiply
    76,252x = 110,004 × 110,004
  4. Step 4: Simplify right side
    76,252x = 12,100,880,016
  5. Step 5: Solve for x
    x = 12,100,880,016/76,252
  6. Step 6: Final answer
    x = 158,695.90

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.