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Finding the Third Proportional to 98,648 and 160,271

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Solution

The third proportional to 98,648 and 160,271 is: 260,388.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,648 : 160,271 = 160,271 : x
  2. Step 2: Convert to fraction form
    98,648/160,271 = 160,271/x
  3. Step 3: Cross multiply
    98,648x = 160,271 × 160,271
  4. Step 4: Simplify right side
    98,648x = 25,686,793,441
  5. Step 5: Solve for x
    x = 25,686,793,441/98,648
  6. Step 6: Final answer
    x = 260,388.39

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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.