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Finding the Third Proportional to 65,758.13 and 143,820.75

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Solution

The third proportional to 65,758.13 and 143,820.75 is: 314,552.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,758.13 : 143,820.75 = 143,820.75 : x
  2. Step 2: Convert to fraction form
    65,758.13/143,820.75 = 143,820.75/x
  3. Step 3: Cross multiply
    65,758.13x = 143,820.75 × 143,820.75
  4. Step 4: Simplify right side
    65,758.13x = 20,684,408,130.56
  5. Step 5: Solve for x
    x = 20,684,408,130.56/65,758.13
  6. Step 6: Final answer
    x = 314,552.89

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Why These Related Problems?

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