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Finding the Third Proportional to 72,004 and 112,079

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Solution

The third proportional to 72,004 and 112,079 is: 174,458.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,004 : 112,079 = 112,079 : x
  2. Step 2: Convert to fraction form
    72,004/112,079 = 112,079/x
  3. Step 3: Cross multiply
    72,004x = 112,079 × 112,079
  4. Step 4: Simplify right side
    72,004x = 12,561,702,241
  5. Step 5: Solve for x
    x = 12,561,702,241/72,004
  6. Step 6: Final answer
    x = 174,458.39

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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.