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Finding the Third Proportional to 124,895 and 190,471

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Solution

The third proportional to 124,895 and 190,471 is: 290,477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,895 : 190,471 = 190,471 : x
  2. Step 2: Convert to fraction form
    124,895/190,471 = 190,471/x
  3. Step 3: Cross multiply
    124,895x = 190,471 × 190,471
  4. Step 4: Simplify right side
    124,895x = 36,279,201,841
  5. Step 5: Solve for x
    x = 36,279,201,841/124,895
  6. Step 6: Final answer
    x = 290,477.62

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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.