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Finding the Third Proportional to 106,548 and 161,765.75

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Solution

The third proportional to 106,548 and 161,765.75 is: 245,599.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,548 : 161,765.75 = 161,765.75 : x
  2. Step 2: Convert to fraction form
    106,548/161,765.75 = 161,765.75/x
  3. Step 3: Cross multiply
    106,548x = 161,765.75 × 161,765.75
  4. Step 4: Simplify right side
    106,548x = 26,168,157,873.06
  5. Step 5: Solve for x
    x = 26,168,157,873.06/106,548
  6. Step 6: Final answer
    x = 245,599.71

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.