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Finding the Third Proportional to 66,367.50 and 143,300.25

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Solution

The third proportional to 66,367.50 and 143,300.25 is: 309,412.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,367.50 : 143,300.25 = 143,300.25 : x
  2. Step 2: Convert to fraction form
    66,367.50/143,300.25 = 143,300.25/x
  3. Step 3: Cross multiply
    66,367.50x = 143,300.25 × 143,300.25
  4. Step 4: Simplify right side
    66,367.50x = 20,534,961,650.06
  5. Step 5: Solve for x
    x = 20,534,961,650.06/66,367.50
  6. Step 6: Final answer
    x = 309,412.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.