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Finding the Third Proportional to 112,570 and 171,176

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Solution

The third proportional to 112,570 and 171,176 is: 260,293.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,570 : 171,176 = 171,176 : x
  2. Step 2: Convert to fraction form
    112,570/171,176 = 171,176/x
  3. Step 3: Cross multiply
    112,570x = 171,176 × 171,176
  4. Step 4: Simplify right side
    112,570x = 29,301,222,976
  5. Step 5: Solve for x
    x = 29,301,222,976/112,570
  6. Step 6: Final answer
    x = 260,293.36

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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.