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Finding the Third Proportional to 91,056.38 and 185,724

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Solution

The third proportional to 91,056.38 and 185,724 is: 378,813.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,056.38 : 185,724 = 185,724 : x
  2. Step 2: Convert to fraction form
    91,056.38/185,724 = 185,724/x
  3. Step 3: Cross multiply
    91,056.38x = 185,724 × 185,724
  4. Step 4: Simplify right side
    91,056.38x = 34,493,404,176
  5. Step 5: Solve for x
    x = 34,493,404,176/91,056.38
  6. Step 6: Final answer
    x = 378,813.72

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.