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Finding the Third Proportional to 74,720 and 161,887

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Solution

The third proportional to 74,720 and 161,887 is: 350,741.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,720 : 161,887 = 161,887 : x
  2. Step 2: Convert to fraction form
    74,720/161,887 = 161,887/x
  3. Step 3: Cross multiply
    74,720x = 161,887 × 161,887
  4. Step 4: Simplify right side
    74,720x = 26,207,400,769
  5. Step 5: Solve for x
    x = 26,207,400,769/74,720
  6. Step 6: Final answer
    x = 350,741.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.