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Finding the Third Proportional to 122,759.25 and 184,595.25

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Solution

The third proportional to 122,759.25 and 184,595.25 is: 277,579.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,759.25 : 184,595.25 = 184,595.25 : x
  2. Step 2: Convert to fraction form
    122,759.25/184,595.25 = 184,595.25/x
  3. Step 3: Cross multiply
    122,759.25x = 184,595.25 × 184,595.25
  4. Step 4: Simplify right side
    122,759.25x = 34,075,406,322.56
  5. Step 5: Solve for x
    x = 34,075,406,322.56/122,759.25
  6. Step 6: Final answer
    x = 277,579.13

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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.