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Finding the Third Proportional to 65,625.19 and 143,719.31

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Solution

The third proportional to 65,625.19 and 143,719.31 is: 314,745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,625.19 : 143,719.31 = 143,719.31 : x
  2. Step 2: Convert to fraction form
    65,625.19/143,719.31 = 143,719.31/x
  3. Step 3: Cross multiply
    65,625.19x = 143,719.31 × 143,719.31
  4. Step 4: Simplify right side
    65,625.19x = 20,655,240,785.47
  5. Step 5: Solve for x
    x = 20,655,240,785.47/65,625.19
  6. Step 6: Final answer
    x = 314,745.63

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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.