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Finding the Third Proportional to 102,098 and 153,245

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Solution

The third proportional to 102,098 and 153,245 is: 230,014.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,098 : 153,245 = 153,245 : x
  2. Step 2: Convert to fraction form
    102,098/153,245 = 153,245/x
  3. Step 3: Cross multiply
    102,098x = 153,245 × 153,245
  4. Step 4: Simplify right side
    102,098x = 23,484,030,025
  5. Step 5: Solve for x
    x = 23,484,030,025/102,098
  6. Step 6: Final answer
    x = 230,014.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.