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Finding the Third Proportional to 104,271 and 167,886

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Solution

The third proportional to 104,271 and 167,886 is: 270,312.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,271 : 167,886 = 167,886 : x
  2. Step 2: Convert to fraction form
    104,271/167,886 = 167,886/x
  3. Step 3: Cross multiply
    104,271x = 167,886 × 167,886
  4. Step 4: Simplify right side
    104,271x = 28,185,708,996
  5. Step 5: Solve for x
    x = 28,185,708,996/104,271
  6. Step 6: Final answer
    x = 270,312.06

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.