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Finding the Third Proportional to 73,987 and 161,815

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Solution

The third proportional to 73,987 and 161,815 is: 353,901.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,987 : 161,815 = 161,815 : x
  2. Step 2: Convert to fraction form
    73,987/161,815 = 161,815/x
  3. Step 3: Cross multiply
    73,987x = 161,815 × 161,815
  4. Step 4: Simplify right side
    73,987x = 26,184,094,225
  5. Step 5: Solve for x
    x = 26,184,094,225/73,987
  6. Step 6: Final answer
    x = 353,901.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.