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Finding the Third Proportional to 112,097 and 163,834

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Solution

The third proportional to 112,097 and 163,834 is: 239,449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,097 : 163,834 = 163,834 : x
  2. Step 2: Convert to fraction form
    112,097/163,834 = 163,834/x
  3. Step 3: Cross multiply
    112,097x = 163,834 × 163,834
  4. Step 4: Simplify right side
    112,097x = 26,841,579,556
  5. Step 5: Solve for x
    x = 26,841,579,556/112,097
  6. Step 6: Final answer
    x = 239,449.58

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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.