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Finding the Third Proportional to 105,971.25 and 148,516.50

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Solution

The third proportional to 105,971.25 and 148,516.50 is: 208,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,971.25 : 148,516.50 = 148,516.50 : x
  2. Step 2: Convert to fraction form
    105,971.25/148,516.50 = 148,516.50/x
  3. Step 3: Cross multiply
    105,971.25x = 148,516.50 × 148,516.50
  4. Step 4: Simplify right side
    105,971.25x = 22,057,150,772.25
  5. Step 5: Solve for x
    x = 22,057,150,772.25/105,971.25
  6. Step 6: Final answer
    x = 208,142.78

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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.