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Finding the Third Proportional to 123,070.13 and 184,400.25

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Solution

The third proportional to 123,070.13 and 184,400.25 is: 276,293.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,070.13 : 184,400.25 = 184,400.25 : x
  2. Step 2: Convert to fraction form
    123,070.13/184,400.25 = 184,400.25/x
  3. Step 3: Cross multiply
    123,070.13x = 184,400.25 × 184,400.25
  4. Step 4: Simplify right side
    123,070.13x = 34,003,452,200.06
  5. Step 5: Solve for x
    x = 34,003,452,200.06/123,070.13
  6. Step 6: Final answer
    x = 276,293.31

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