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Finding the Third Proportional to 65,317.64 and 143,085.23

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Solution

The third proportional to 65,317.64 and 143,085.23 is: 313,443.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,317.64 : 143,085.23 = 143,085.23 : x
  2. Step 2: Convert to fraction form
    65,317.64/143,085.23 = 143,085.23/x
  3. Step 3: Cross multiply
    65,317.64x = 143,085.23 × 143,085.23
  4. Step 4: Simplify right side
    65,317.64x = 20,473,384,296.15
  5. Step 5: Solve for x
    x = 20,473,384,296.15/65,317.64
  6. Step 6: Final answer
    x = 313,443.41

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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.