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Finding the Third Proportional to 107,895 and 169,253

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Solution

The third proportional to 107,895 and 169,253 is: 265,504.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,895 : 169,253 = 169,253 : x
  2. Step 2: Convert to fraction form
    107,895/169,253 = 169,253/x
  3. Step 3: Cross multiply
    107,895x = 169,253 × 169,253
  4. Step 4: Simplify right side
    107,895x = 28,646,578,009
  5. Step 5: Solve for x
    x = 28,646,578,009/107,895
  6. Step 6: Final answer
    x = 265,504.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.