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Finding the Third Proportional to 107,415 and 161,048

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Solution

The third proportional to 107,415 and 161,048 is: 241,460.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,415 : 161,048 = 161,048 : x
  2. Step 2: Convert to fraction form
    107,415/161,048 = 161,048/x
  3. Step 3: Cross multiply
    107,415x = 161,048 × 161,048
  4. Step 4: Simplify right side
    107,415x = 25,936,458,304
  5. Step 5: Solve for x
    x = 25,936,458,304/107,415
  6. Step 6: Final answer
    x = 241,460.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.