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Finding the Third Proportional to 129,515.68 and 184,585.79

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Solution

The third proportional to 129,515.68 and 184,585.79 is: 263,071.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,515.68 : 184,585.79 = 184,585.79 : x
  2. Step 2: Convert to fraction form
    129,515.68/184,585.79 = 184,585.79/x
  3. Step 3: Cross multiply
    129,515.68x = 184,585.79 × 184,585.79
  4. Step 4: Simplify right side
    129,515.68x = 34,071,913,884.34
  5. Step 5: Solve for x
    x = 34,071,913,884.34/129,515.68
  6. Step 6: Final answer
    x = 263,071.73

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.