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Finding the Third Proportional to 38,235 and 79,157

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Solution

The third proportional to 38,235 and 79,157 is: 163,876.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,235 : 79,157 = 79,157 : x
  2. Step 2: Convert to fraction form
    38,235/79,157 = 79,157/x
  3. Step 3: Cross multiply
    38,235x = 79,157 × 79,157
  4. Step 4: Simplify right side
    38,235x = 6,265,830,649
  5. Step 5: Solve for x
    x = 6,265,830,649/38,235
  6. Step 6: Final answer
    x = 163,876.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.