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Finding the Third Proportional to 128,039.63 and 184,432.50

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Solution

The third proportional to 128,039.63 and 184,432.50 is: 265,662.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,039.63 : 184,432.50 = 184,432.50 : x
  2. Step 2: Convert to fraction form
    128,039.63/184,432.50 = 184,432.50/x
  3. Step 3: Cross multiply
    128,039.63x = 184,432.50 × 184,432.50
  4. Step 4: Simplify right side
    128,039.63x = 34,015,347,056.25
  5. Step 5: Solve for x
    x = 34,015,347,056.25/128,039.63
  6. Step 6: Final answer
    x = 265,662.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.