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Finding the Third Proportional to 74,032.31 and 119,224.41

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Solution

The third proportional to 74,032.31 and 119,224.41 is: 192,003.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,032.31 : 119,224.41 = 119,224.41 : x
  2. Step 2: Convert to fraction form
    74,032.31/119,224.41 = 119,224.41/x
  3. Step 3: Cross multiply
    74,032.31x = 119,224.41 × 119,224.41
  4. Step 4: Simplify right side
    74,032.31x = 14,214,459,045.67
  5. Step 5: Solve for x
    x = 14,214,459,045.67/74,032.31
  6. Step 6: Final answer
    x = 192,003.45

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.