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Finding the Third Proportional to 112,505 and 164,314

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Solution

The third proportional to 112,505 and 164,314 is: 239,981.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,505 : 164,314 = 164,314 : x
  2. Step 2: Convert to fraction form
    112,505/164,314 = 164,314/x
  3. Step 3: Cross multiply
    112,505x = 164,314 × 164,314
  4. Step 4: Simplify right side
    112,505x = 26,999,090,596
  5. Step 5: Solve for x
    x = 26,999,090,596/112,505
  6. Step 6: Final answer
    x = 239,981.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.