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Finding the Third Proportional to 123,315.75 and 184,990.13

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Solution

The third proportional to 123,315.75 and 184,990.13 is: 277,509.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,315.75 : 184,990.13 = 184,990.13 : x
  2. Step 2: Convert to fraction form
    123,315.75/184,990.13 = 184,990.13/x
  3. Step 3: Cross multiply
    123,315.75x = 184,990.13 × 184,990.13
  4. Step 4: Simplify right side
    123,315.75x = 34,221,346,347.52
  5. Step 5: Solve for x
    x = 34,221,346,347.52/123,315.75
  6. Step 6: Final answer
    x = 277,509.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.