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Finding the Third Proportional to 103,796 and 161,024

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Solution

The third proportional to 103,796 and 161,024 is: 249,804.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,796 : 161,024 = 161,024 : x
  2. Step 2: Convert to fraction form
    103,796/161,024 = 161,024/x
  3. Step 3: Cross multiply
    103,796x = 161,024 × 161,024
  4. Step 4: Simplify right side
    103,796x = 25,928,728,576
  5. Step 5: Solve for x
    x = 25,928,728,576/103,796
  6. Step 6: Final answer
    x = 249,804.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.