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Finding the Third Proportional to 75,216 and 112,002

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Solution

The third proportional to 75,216 and 112,002 is: 166,778.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,216 : 112,002 = 112,002 : x
  2. Step 2: Convert to fraction form
    75,216/112,002 = 112,002/x
  3. Step 3: Cross multiply
    75,216x = 112,002 × 112,002
  4. Step 4: Simplify right side
    75,216x = 12,544,448,004
  5. Step 5: Solve for x
    x = 12,544,448,004/75,216
  6. Step 6: Final answer
    x = 166,778.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.