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Finding the Third Proportional to 45,323 and 98,710

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Solution

The third proportional to 45,323 and 98,710 is: 214,982.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,323 : 98,710 = 98,710 : x
  2. Step 2: Convert to fraction form
    45,323/98,710 = 98,710/x
  3. Step 3: Cross multiply
    45,323x = 98,710 × 98,710
  4. Step 4: Simplify right side
    45,323x = 9,743,664,100
  5. Step 5: Solve for x
    x = 9,743,664,100/45,323
  6. Step 6: Final answer
    x = 214,982.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.