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Finding the Third Proportional to 124,899 and 190,477

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Solution

The third proportional to 124,899 and 190,477 is: 290,486.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,899 : 190,477 = 190,477 : x
  2. Step 2: Convert to fraction form
    124,899/190,477 = 190,477/x
  3. Step 3: Cross multiply
    124,899x = 190,477 × 190,477
  4. Step 4: Simplify right side
    124,899x = 36,281,487,529
  5. Step 5: Solve for x
    x = 36,281,487,529/124,899
  6. Step 6: Final answer
    x = 290,486.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.