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Finding the Third Proportional to 105,745.50 and 145,004.25

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Solution

The third proportional to 105,745.50 and 145,004.25 is: 198,838.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,745.50 : 145,004.25 = 145,004.25 : x
  2. Step 2: Convert to fraction form
    105,745.50/145,004.25 = 145,004.25/x
  3. Step 3: Cross multiply
    105,745.50x = 145,004.25 × 145,004.25
  4. Step 4: Simplify right side
    105,745.50x = 21,026,232,518.06
  5. Step 5: Solve for x
    x = 21,026,232,518.06/105,745.50
  6. Step 6: Final answer
    x = 198,838.08

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.