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Finding the Third Proportional to 112,548 and 171,680.63

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Solution

The third proportional to 112,548 and 171,680.63 is: 261,881.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,548 : 171,680.63 = 171,680.63 : x
  2. Step 2: Convert to fraction form
    112,548/171,680.63 = 171,680.63/x
  3. Step 3: Cross multiply
    112,548x = 171,680.63 × 171,680.63
  4. Step 4: Simplify right side
    112,548x = 29,474,237,000.39
  5. Step 5: Solve for x
    x = 29,474,237,000.39/112,548
  6. Step 6: Final answer
    x = 261,881.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.