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Finding the Third Proportional to 45,943 and 98,925

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Solution

The third proportional to 45,943 and 98,925 is: 213,006.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,943 : 98,925 = 98,925 : x
  2. Step 2: Convert to fraction form
    45,943/98,925 = 98,925/x
  3. Step 3: Cross multiply
    45,943x = 98,925 × 98,925
  4. Step 4: Simplify right side
    45,943x = 9,786,155,625
  5. Step 5: Solve for x
    x = 9,786,155,625/45,943
  6. Step 6: Final answer
    x = 213,006.46

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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.