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Finding the Third Proportional to 123,471 and 186,927.75

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Solution

The third proportional to 123,471 and 186,927.75 is: 282,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,471 : 186,927.75 = 186,927.75 : x
  2. Step 2: Convert to fraction form
    123,471/186,927.75 = 186,927.75/x
  3. Step 3: Cross multiply
    123,471x = 186,927.75 × 186,927.75
  4. Step 4: Simplify right side
    123,471x = 34,941,983,720.06
  5. Step 5: Solve for x
    x = 34,941,983,720.06/123,471
  6. Step 6: Final answer
    x = 282,997.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.