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Finding the Third Proportional to 65,327.06 and 143,109.94

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Solution

The third proportional to 65,327.06 and 143,109.94 is: 313,506.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,327.06 : 143,109.94 = 143,109.94 : x
  2. Step 2: Convert to fraction form
    65,327.06/143,109.94 = 143,109.94/x
  3. Step 3: Cross multiply
    65,327.06x = 143,109.94 × 143,109.94
  4. Step 4: Simplify right side
    65,327.06x = 20,480,454,211.25
  5. Step 5: Solve for x
    x = 20,480,454,211.25/65,327.06
  6. Step 6: Final answer
    x = 313,506.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.