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Finding the Third Proportional to 101,175.75 and 152,024.25

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Solution

The third proportional to 101,175.75 and 152,024.25 is: 228,427.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,175.75 : 152,024.25 = 152,024.25 : x
  2. Step 2: Convert to fraction form
    101,175.75/152,024.25 = 152,024.25/x
  3. Step 3: Cross multiply
    101,175.75x = 152,024.25 × 152,024.25
  4. Step 4: Simplify right side
    101,175.75x = 23,111,372,588.06
  5. Step 5: Solve for x
    x = 23,111,372,588.06/101,175.75
  6. Step 6: Final answer
    x = 228,427.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.