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Finding the Third Proportional to 75,563 and 105,927

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Solution

The third proportional to 75,563 and 105,927 is: 148,492.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,563 : 105,927 = 105,927 : x
  2. Step 2: Convert to fraction form
    75,563/105,927 = 105,927/x
  3. Step 3: Cross multiply
    75,563x = 105,927 × 105,927
  4. Step 4: Simplify right side
    75,563x = 11,220,529,329
  5. Step 5: Solve for x
    x = 11,220,529,329/75,563
  6. Step 6: Final answer
    x = 148,492.37

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.