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Finding the Third Proportional to 63,518 and 143,219

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Solution

The third proportional to 63,518 and 143,219 is: 322,927.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,518 : 143,219 = 143,219 : x
  2. Step 2: Convert to fraction form
    63,518/143,219 = 143,219/x
  3. Step 3: Cross multiply
    63,518x = 143,219 × 143,219
  4. Step 4: Simplify right side
    63,518x = 20,511,681,961
  5. Step 5: Solve for x
    x = 20,511,681,961/63,518
  6. Step 6: Final answer
    x = 322,927.08

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.