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Finding the Third Proportional to 65,343.38 and 143,137.13

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Solution

The third proportional to 65,343.38 and 143,137.13 is: 313,547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,343.38 : 143,137.13 = 143,137.13 : x
  2. Step 2: Convert to fraction form
    65,343.38/143,137.13 = 143,137.13/x
  3. Step 3: Cross multiply
    65,343.38x = 143,137.13 × 143,137.13
  4. Step 4: Simplify right side
    65,343.38x = 20,488,236,553.27
  5. Step 5: Solve for x
    x = 20,488,236,553.27/65,343.38
  6. Step 6: Final answer
    x = 313,547.27

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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.