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Finding the Third Proportional to 102,014 and 158,343

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Solution

The third proportional to 102,014 and 158,343 is: 245,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,014 : 158,343 = 158,343 : x
  2. Step 2: Convert to fraction form
    102,014/158,343 = 158,343/x
  3. Step 3: Cross multiply
    102,014x = 158,343 × 158,343
  4. Step 4: Simplify right side
    102,014x = 25,072,505,649
  5. Step 5: Solve for x
    x = 25,072,505,649/102,014
  6. Step 6: Final answer
    x = 245,775.15

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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.