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Finding the Third Proportional to 98,576 and 160,167

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Solution

The third proportional to 98,576 and 160,167 is: 260,240.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,576 : 160,167 = 160,167 : x
  2. Step 2: Convert to fraction form
    98,576/160,167 = 160,167/x
  3. Step 3: Cross multiply
    98,576x = 160,167 × 160,167
  4. Step 4: Simplify right side
    98,576x = 25,653,467,889
  5. Step 5: Solve for x
    x = 25,653,467,889/98,576
  6. Step 6: Final answer
    x = 260,240.50

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.