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Finding the Third Proportional to 72,002 and 112,076

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Solution

The third proportional to 72,002 and 112,076 is: 174,453.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,002 : 112,076 = 112,076 : x
  2. Step 2: Convert to fraction form
    72,002/112,076 = 112,076/x
  3. Step 3: Cross multiply
    72,002x = 112,076 × 112,076
  4. Step 4: Simplify right side
    72,002x = 12,561,029,776
  5. Step 5: Solve for x
    x = 12,561,029,776/72,002
  6. Step 6: Final answer
    x = 174,453.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.