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Finding the Third Proportional to 64,486 and 98,582

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Solution

The third proportional to 64,486 and 98,582 is: 150,705.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,486 : 98,582 = 98,582 : x
  2. Step 2: Convert to fraction form
    64,486/98,582 = 98,582/x
  3. Step 3: Cross multiply
    64,486x = 98,582 × 98,582
  4. Step 4: Simplify right side
    64,486x = 9,718,410,724
  5. Step 5: Solve for x
    x = 9,718,410,724/64,486
  6. Step 6: Final answer
    x = 150,705.75

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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.