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Finding the Third Proportional to 111,875 and 162,529

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Solution

The third proportional to 111,875 and 162,529 is: 236,117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,875 : 162,529 = 162,529 : x
  2. Step 2: Convert to fraction form
    111,875/162,529 = 162,529/x
  3. Step 3: Cross multiply
    111,875x = 162,529 × 162,529
  4. Step 4: Simplify right side
    111,875x = 26,415,675,841
  5. Step 5: Solve for x
    x = 26,415,675,841/111,875
  6. Step 6: Final answer
    x = 236,117.77

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.