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Finding the Third Proportional to 95,567 and 143,335

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Solution

The third proportional to 95,567 and 143,335 is: 214,979.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,567 : 143,335 = 143,335 : x
  2. Step 2: Convert to fraction form
    95,567/143,335 = 143,335/x
  3. Step 3: Cross multiply
    95,567x = 143,335 × 143,335
  4. Step 4: Simplify right side
    95,567x = 20,544,922,225
  5. Step 5: Solve for x
    x = 20,544,922,225/95,567
  6. Step 6: Final answer
    x = 214,979.25

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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.