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Finding the Third Proportional to 112,777 and 163,834

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Solution

The third proportional to 112,777 and 163,834 is: 238,005.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,777 : 163,834 = 163,834 : x
  2. Step 2: Convert to fraction form
    112,777/163,834 = 163,834/x
  3. Step 3: Cross multiply
    112,777x = 163,834 × 163,834
  4. Step 4: Simplify right side
    112,777x = 26,841,579,556
  5. Step 5: Solve for x
    x = 26,841,579,556/112,777
  6. Step 6: Final answer
    x = 238,005.80

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.