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Finding the Third Proportional to 111,521 and 245,094

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Solution

The third proportional to 111,521 and 245,094 is: 538,652.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,521 : 245,094 = 245,094 : x
  2. Step 2: Convert to fraction form
    111,521/245,094 = 245,094/x
  3. Step 3: Cross multiply
    111,521x = 245,094 × 245,094
  4. Step 4: Simplify right side
    111,521x = 60,071,068,836
  5. Step 5: Solve for x
    x = 60,071,068,836/111,521
  6. Step 6: Final answer
    x = 538,652.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.