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Finding the Third Proportional to 101,168 and 145,726

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Solution

The third proportional to 101,168 and 145,726 is: 209,908.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,168 : 145,726 = 145,726 : x
  2. Step 2: Convert to fraction form
    101,168/145,726 = 145,726/x
  3. Step 3: Cross multiply
    101,168x = 145,726 × 145,726
  4. Step 4: Simplify right side
    101,168x = 21,236,067,076
  5. Step 5: Solve for x
    x = 21,236,067,076/101,168
  6. Step 6: Final answer
    x = 209,908.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.