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Finding the Third Proportional to 65,539 and 98,226

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Solution

The third proportional to 65,539 and 98,226 is: 147,215.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,539 : 98,226 = 98,226 : x
  2. Step 2: Convert to fraction form
    65,539/98,226 = 98,226/x
  3. Step 3: Cross multiply
    65,539x = 98,226 × 98,226
  4. Step 4: Simplify right side
    65,539x = 9,648,347,076
  5. Step 5: Solve for x
    x = 9,648,347,076/65,539
  6. Step 6: Final answer
    x = 147,215.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.