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Finding the Third Proportional to 45,639 and 98,019

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Solution

The third proportional to 45,639 and 98,019 is: 210,515.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,639 : 98,019 = 98,019 : x
  2. Step 2: Convert to fraction form
    45,639/98,019 = 98,019/x
  3. Step 3: Cross multiply
    45,639x = 98,019 × 98,019
  4. Step 4: Simplify right side
    45,639x = 9,607,724,361
  5. Step 5: Solve for x
    x = 9,607,724,361/45,639
  6. Step 6: Final answer
    x = 210,515.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.