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Finding the Third Proportional to 74,076 and 159,828

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Solution

The third proportional to 74,076 and 159,828 is: 344,848.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,076 : 159,828 = 159,828 : x
  2. Step 2: Convert to fraction form
    74,076/159,828 = 159,828/x
  3. Step 3: Cross multiply
    74,076x = 159,828 × 159,828
  4. Step 4: Simplify right side
    74,076x = 25,544,989,584
  5. Step 5: Solve for x
    x = 25,544,989,584/74,076
  6. Step 6: Final answer
    x = 344,848.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.