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Finding the Third Proportional to 74,464.31 and 159,590.25

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Solution

The third proportional to 74,464.31 and 159,590.25 is: 342,030.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,464.31 : 159,590.25 = 159,590.25 : x
  2. Step 2: Convert to fraction form
    74,464.31/159,590.25 = 159,590.25/x
  3. Step 3: Cross multiply
    74,464.31x = 159,590.25 × 159,590.25
  4. Step 4: Simplify right side
    74,464.31x = 25,469,047,895.06
  5. Step 5: Solve for x
    x = 25,469,047,895.06/74,464.31
  6. Step 6: Final answer
    x = 342,030.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.