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Finding the Third Proportional to 45,650 and 98,122

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Solution

The third proportional to 45,650 and 98,122 is: 210,907.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,650 : 98,122 = 98,122 : x
  2. Step 2: Convert to fraction form
    45,650/98,122 = 98,122/x
  3. Step 3: Cross multiply
    45,650x = 98,122 × 98,122
  4. Step 4: Simplify right side
    45,650x = 9,627,926,884
  5. Step 5: Solve for x
    x = 9,627,926,884/45,650
  6. Step 6: Final answer
    x = 210,907.49

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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.