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Finding the Third Proportional to 74,094 and 160,033

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Solution

The third proportional to 74,094 and 160,033 is: 345,649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,094 : 160,033 = 160,033 : x
  2. Step 2: Convert to fraction form
    74,094/160,033 = 160,033/x
  3. Step 3: Cross multiply
    74,094x = 160,033 × 160,033
  4. Step 4: Simplify right side
    74,094x = 25,610,561,089
  5. Step 5: Solve for x
    x = 25,610,561,089/74,094
  6. Step 6: Final answer
    x = 345,649.59

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