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Finding the Third Proportional to 94,055 and 145,955

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Solution

The third proportional to 94,055 and 145,955 is: 226,493.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,055 : 145,955 = 145,955 : x
  2. Step 2: Convert to fraction form
    94,055/145,955 = 145,955/x
  3. Step 3: Cross multiply
    94,055x = 145,955 × 145,955
  4. Step 4: Simplify right side
    94,055x = 21,302,862,025
  5. Step 5: Solve for x
    x = 21,302,862,025/94,055
  6. Step 6: Final answer
    x = 226,493.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.