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Finding the Third Proportional to 113,786 and 163,901

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Solution

The third proportional to 113,786 and 163,901 is: 236,088.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,786 : 163,901 = 163,901 : x
  2. Step 2: Convert to fraction form
    113,786/163,901 = 163,901/x
  3. Step 3: Cross multiply
    113,786x = 163,901 × 163,901
  4. Step 4: Simplify right side
    113,786x = 26,863,537,801
  5. Step 5: Solve for x
    x = 26,863,537,801/113,786
  6. Step 6: Final answer
    x = 236,088.25

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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.