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Finding the Third Proportional to 95,562 and 143,313

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Solution

The third proportional to 95,562 and 143,313 is: 214,924.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,562 : 143,313 = 143,313 : x
  2. Step 2: Convert to fraction form
    95,562/143,313 = 143,313/x
  3. Step 3: Cross multiply
    95,562x = 143,313 × 143,313
  4. Step 4: Simplify right side
    95,562x = 20,538,615,969
  5. Step 5: Solve for x
    x = 20,538,615,969/95,562
  6. Step 6: Final answer
    x = 214,924.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.