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Finding the Third Proportional to 112,574 and 171,182

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Solution

The third proportional to 112,574 and 171,182 is: 260,302.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,574 : 171,182 = 171,182 : x
  2. Step 2: Convert to fraction form
    112,574/171,182 = 171,182/x
  3. Step 3: Cross multiply
    112,574x = 171,182 × 171,182
  4. Step 4: Simplify right side
    112,574x = 29,303,277,124
  5. Step 5: Solve for x
    x = 29,303,277,124/112,574
  6. Step 6: Final answer
    x = 260,302.35

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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.