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Finding the Third Proportional to 65,265.75 and 143,132.06

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Solution

The third proportional to 65,265.75 and 143,132.06 is: 313,897.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,265.75 : 143,132.06 = 143,132.06 : x
  2. Step 2: Convert to fraction form
    65,265.75/143,132.06 = 143,132.06/x
  3. Step 3: Cross multiply
    65,265.75x = 143,132.06 × 143,132.06
  4. Step 4: Simplify right side
    65,265.75x = 20,486,787,315.50
  5. Step 5: Solve for x
    x = 20,486,787,315.50/65,265.75
  6. Step 6: Final answer
    x = 313,897.98

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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.