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Finding the Third Proportional to 77,997 and 125,608.50

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Solution

The third proportional to 77,997 and 125,608.50 is: 202,283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,997 : 125,608.50 = 125,608.50 : x
  2. Step 2: Convert to fraction form
    77,997/125,608.50 = 125,608.50/x
  3. Step 3: Cross multiply
    77,997x = 125,608.50 × 125,608.50
  4. Step 4: Simplify right side
    77,997x = 15,777,495,272.25
  5. Step 5: Solve for x
    x = 15,777,495,272.25/77,997
  6. Step 6: Final answer
    x = 202,283.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.