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Finding the Third Proportional to 101,322 and 148,074.75

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Solution

The third proportional to 101,322 and 148,074.75 is: 216,400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,322 : 148,074.75 = 148,074.75 : x
  2. Step 2: Convert to fraction form
    101,322/148,074.75 = 148,074.75/x
  3. Step 3: Cross multiply
    101,322x = 148,074.75 × 148,074.75
  4. Step 4: Simplify right side
    101,322x = 21,926,131,587.56
  5. Step 5: Solve for x
    x = 21,926,131,587.56/101,322
  6. Step 6: Final answer
    x = 216,400.50

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.