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Finding the Third Proportional to 32,054 and 71,104

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Solution

The third proportional to 32,054 and 71,104 is: 157,726.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,054 : 71,104 = 71,104 : x
  2. Step 2: Convert to fraction form
    32,054/71,104 = 71,104/x
  3. Step 3: Cross multiply
    32,054x = 71,104 × 71,104
  4. Step 4: Simplify right side
    32,054x = 5,055,778,816
  5. Step 5: Solve for x
    x = 5,055,778,816/32,054
  6. Step 6: Final answer
    x = 157,726.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.