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Finding the Third Proportional to 112,356 and 170,834

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Solution

The third proportional to 112,356 and 170,834 is: 259,748.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,356 : 170,834 = 170,834 : x
  2. Step 2: Convert to fraction form
    112,356/170,834 = 170,834/x
  3. Step 3: Cross multiply
    112,356x = 170,834 × 170,834
  4. Step 4: Simplify right side
    112,356x = 29,184,255,556
  5. Step 5: Solve for x
    x = 29,184,255,556/112,356
  6. Step 6: Final answer
    x = 259,748.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.