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Finding the Third Proportional to 74,987.44 and 105,464.53

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Solution

The third proportional to 74,987.44 and 105,464.53 is: 148,328.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,987.44 : 105,464.53 = 105,464.53 : x
  2. Step 2: Convert to fraction form
    74,987.44/105,464.53 = 105,464.53/x
  3. Step 3: Cross multiply
    74,987.44x = 105,464.53 × 105,464.53
  4. Step 4: Simplify right side
    74,987.44x = 11,122,767,351.78
  5. Step 5: Solve for x
    x = 11,122,767,351.78/74,987.44
  6. Step 6: Final answer
    x = 148,328.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.