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Finding the Third Proportional to 124,902 and 190,462

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Solution

The third proportional to 124,902 and 190,462 is: 290,433.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,902 : 190,462 = 190,462 : x
  2. Step 2: Convert to fraction form
    124,902/190,462 = 190,462/x
  3. Step 3: Cross multiply
    124,902x = 190,462 × 190,462
  4. Step 4: Simplify right side
    124,902x = 36,275,773,444
  5. Step 5: Solve for x
    x = 36,275,773,444/124,902
  6. Step 6: Final answer
    x = 290,433.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.