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Finding the Third Proportional to 74,266.75 and 154,653.50

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Solution

The third proportional to 74,266.75 and 154,653.50 is: 322,051.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,266.75 : 154,653.50 = 154,653.50 : x
  2. Step 2: Convert to fraction form
    74,266.75/154,653.50 = 154,653.50/x
  3. Step 3: Cross multiply
    74,266.75x = 154,653.50 × 154,653.50
  4. Step 4: Simplify right side
    74,266.75x = 23,917,705,062.25
  5. Step 5: Solve for x
    x = 23,917,705,062.25/74,266.75
  6. Step 6: Final answer
    x = 322,051.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.