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Finding the Third Proportional to 112,012 and 170,358

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Solution

The third proportional to 112,012 and 170,358 is: 259,095.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,012 : 170,358 = 170,358 : x
  2. Step 2: Convert to fraction form
    112,012/170,358 = 170,358/x
  3. Step 3: Cross multiply
    112,012x = 170,358 × 170,358
  4. Step 4: Simplify right side
    112,012x = 29,021,848,164
  5. Step 5: Solve for x
    x = 29,021,848,164/112,012
  6. Step 6: Final answer
    x = 259,095.88

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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.