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Finding the Third Proportional to 74,092 and 160,029

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Solution

The third proportional to 74,092 and 160,029 is: 345,641.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,092 : 160,029 = 160,029 : x
  2. Step 2: Convert to fraction form
    74,092/160,029 = 160,029/x
  3. Step 3: Cross multiply
    74,092x = 160,029 × 160,029
  4. Step 4: Simplify right side
    74,092x = 25,609,280,841
  5. Step 5: Solve for x
    x = 25,609,280,841/74,092
  6. Step 6: Final answer
    x = 345,641.65

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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.