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Finding the Third Proportional to 71,319 and 107,263

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Solution

The third proportional to 71,319 and 107,263 is: 161,322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,319 : 107,263 = 107,263 : x
  2. Step 2: Convert to fraction form
    71,319/107,263 = 107,263/x
  3. Step 3: Cross multiply
    71,319x = 107,263 × 107,263
  4. Step 4: Simplify right side
    71,319x = 11,505,351,169
  5. Step 5: Solve for x
    x = 11,505,351,169/71,319
  6. Step 6: Final answer
    x = 161,322.38

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