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Finding the Third Proportional to 58,435.96 and 127,956.11

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Solution

The third proportional to 58,435.96 and 127,956.11 is: 280,183.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,435.96 : 127,956.11 = 127,956.11 : x
  2. Step 2: Convert to fraction form
    58,435.96/127,956.11 = 127,956.11/x
  3. Step 3: Cross multiply
    58,435.96x = 127,956.11 × 127,956.11
  4. Step 4: Simplify right side
    58,435.96x = 16,372,766,426.21
  5. Step 5: Solve for x
    x = 16,372,766,426.21/58,435.96
  6. Step 6: Final answer
    x = 280,183.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.