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Finding the Third Proportional to 112,216.64 and 171,680.45

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Solution

The third proportional to 112,216.64 and 171,680.45 is: 262,654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,216.64 : 171,680.45 = 171,680.45 : x
  2. Step 2: Convert to fraction form
    112,216.64/171,680.45 = 171,680.45/x
  3. Step 3: Cross multiply
    112,216.64x = 171,680.45 × 171,680.45
  4. Step 4: Simplify right side
    112,216.64x = 29,474,176,643.95
  5. Step 5: Solve for x
    x = 29,474,176,643.95/112,216.64
  6. Step 6: Final answer
    x = 262,654.24

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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.