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Finding the Third Proportional to 103,956 and 152,046

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Solution

The third proportional to 103,956 and 152,046 is: 222,382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,956 : 152,046 = 152,046 : x
  2. Step 2: Convert to fraction form
    103,956/152,046 = 152,046/x
  3. Step 3: Cross multiply
    103,956x = 152,046 × 152,046
  4. Step 4: Simplify right side
    103,956x = 23,117,986,116
  5. Step 5: Solve for x
    x = 23,117,986,116/103,956
  6. Step 6: Final answer
    x = 222,382.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.