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Finding the Third Proportional to 98,982 and 163,215

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Solution

The third proportional to 98,982 and 163,215 is: 269,131.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,982 : 163,215 = 163,215 : x
  2. Step 2: Convert to fraction form
    98,982/163,215 = 163,215/x
  3. Step 3: Cross multiply
    98,982x = 163,215 × 163,215
  4. Step 4: Simplify right side
    98,982x = 26,639,136,225
  5. Step 5: Solve for x
    x = 26,639,136,225/98,982
  6. Step 6: Final answer
    x = 269,131.12

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.