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Finding the Third Proportional to 105,967.25 and 148,534.75

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Solution

The third proportional to 105,967.25 and 148,534.75 is: 208,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,967.25 : 148,534.75 = 148,534.75 : x
  2. Step 2: Convert to fraction form
    105,967.25/148,534.75 = 148,534.75/x
  3. Step 3: Cross multiply
    105,967.25x = 148,534.75 × 148,534.75
  4. Step 4: Simplify right side
    105,967.25x = 22,062,571,957.56
  5. Step 5: Solve for x
    x = 22,062,571,957.56/105,967.25
  6. Step 6: Final answer
    x = 208,201.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.