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Finding the Third Proportional to 97,902 and 150,745.50

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Solution

The third proportional to 97,902 and 150,745.50 is: 232,111.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,902 : 150,745.50 = 150,745.50 : x
  2. Step 2: Convert to fraction form
    97,902/150,745.50 = 150,745.50/x
  3. Step 3: Cross multiply
    97,902x = 150,745.50 × 150,745.50
  4. Step 4: Simplify right side
    97,902x = 22,724,205,770.25
  5. Step 5: Solve for x
    x = 22,724,205,770.25/97,902
  6. Step 6: Final answer
    x = 232,111.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.