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Finding the Third Proportional to 130,109.25 and 201,072.75

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Solution

The third proportional to 130,109.25 and 201,072.75 is: 310,740.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,109.25 : 201,072.75 = 201,072.75 : x
  2. Step 2: Convert to fraction form
    130,109.25/201,072.75 = 201,072.75/x
  3. Step 3: Cross multiply
    130,109.25x = 201,072.75 × 201,072.75
  4. Step 4: Simplify right side
    130,109.25x = 40,430,250,792.56
  5. Step 5: Solve for x
    x = 40,430,250,792.56/130,109.25
  6. Step 6: Final answer
    x = 310,740.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.