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Finding the Third Proportional to 115,929 and 184,261.50

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Solution

The third proportional to 115,929 and 184,261.50 is: 292,871.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,929 : 184,261.50 = 184,261.50 : x
  2. Step 2: Convert to fraction form
    115,929/184,261.50 = 184,261.50/x
  3. Step 3: Cross multiply
    115,929x = 184,261.50 × 184,261.50
  4. Step 4: Simplify right side
    115,929x = 33,952,300,382.25
  5. Step 5: Solve for x
    x = 33,952,300,382.25/115,929
  6. Step 6: Final answer
    x = 292,871.50

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.