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Finding the Third Proportional to 73,872 and 161,284

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Solution

The third proportional to 73,872 and 161,284 is: 352,129.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,872 : 161,284 = 161,284 : x
  2. Step 2: Convert to fraction form
    73,872/161,284 = 161,284/x
  3. Step 3: Cross multiply
    73,872x = 161,284 × 161,284
  4. Step 4: Simplify right side
    73,872x = 26,012,528,656
  5. Step 5: Solve for x
    x = 26,012,528,656/73,872
  6. Step 6: Final answer
    x = 352,129.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.