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Finding the Third Proportional to 63,234 and 95,268

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Solution

The third proportional to 63,234 and 95,268 is: 143,530.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,234 : 95,268 = 95,268 : x
  2. Step 2: Convert to fraction form
    63,234/95,268 = 95,268/x
  3. Step 3: Cross multiply
    63,234x = 95,268 × 95,268
  4. Step 4: Simplify right side
    63,234x = 9,075,991,824
  5. Step 5: Solve for x
    x = 9,075,991,824/63,234
  6. Step 6: Final answer
    x = 143,530.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.