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Finding the Third Proportional to 112,102 and 163,842

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Solution

The third proportional to 112,102 and 163,842 is: 239,462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,102 : 163,842 = 163,842 : x
  2. Step 2: Convert to fraction form
    112,102/163,842 = 163,842/x
  3. Step 3: Cross multiply
    112,102x = 163,842 × 163,842
  4. Step 4: Simplify right side
    112,102x = 26,844,200,964
  5. Step 5: Solve for x
    x = 26,844,200,964/112,102
  6. Step 6: Final answer
    x = 239,462.28

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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.