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Finding the Third Proportional to 45,312 and 96,824

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Solution

The third proportional to 45,312 and 96,824 is: 206,896.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,312 : 96,824 = 96,824 : x
  2. Step 2: Convert to fraction form
    45,312/96,824 = 96,824/x
  3. Step 3: Cross multiply
    45,312x = 96,824 × 96,824
  4. Step 4: Simplify right side
    45,312x = 9,374,886,976
  5. Step 5: Solve for x
    x = 9,374,886,976/45,312
  6. Step 6: Final answer
    x = 206,896.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.