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Finding the Third Proportional to 65,416 and 98,205

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Solution

The third proportional to 65,416 and 98,205 is: 147,429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,416 : 98,205 = 98,205 : x
  2. Step 2: Convert to fraction form
    65,416/98,205 = 98,205/x
  3. Step 3: Cross multiply
    65,416x = 98,205 × 98,205
  4. Step 4: Simplify right side
    65,416x = 9,644,222,025
  5. Step 5: Solve for x
    x = 9,644,222,025/65,416
  6. Step 6: Final answer
    x = 147,429.10

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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.