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Finding the Third Proportional to 73,718 and 161,440

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Solution

The third proportional to 73,718 and 161,440 is: 353,548.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,718 : 161,440 = 161,440 : x
  2. Step 2: Convert to fraction form
    73,718/161,440 = 161,440/x
  3. Step 3: Cross multiply
    73,718x = 161,440 × 161,440
  4. Step 4: Simplify right side
    73,718x = 26,062,873,600
  5. Step 5: Solve for x
    x = 26,062,873,600/73,718
  6. Step 6: Final answer
    x = 353,548.30

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Why These Related Problems?

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