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Finding the Third Proportional to 124,899 and 190,461

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Solution

The third proportional to 124,899 and 190,461 is: 290,437.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,899 : 190,461 = 190,461 : x
  2. Step 2: Convert to fraction form
    124,899/190,461 = 190,461/x
  3. Step 3: Cross multiply
    124,899x = 190,461 × 190,461
  4. Step 4: Simplify right side
    124,899x = 36,275,392,521
  5. Step 5: Solve for x
    x = 36,275,392,521/124,899
  6. Step 6: Final answer
    x = 290,437.81

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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.