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Finding the Third Proportional to 43,725.38 and 94,140

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Solution

The third proportional to 43,725.38 and 94,140 is: 202,681.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,725.38 : 94,140 = 94,140 : x
  2. Step 2: Convert to fraction form
    43,725.38/94,140 = 94,140/x
  3. Step 3: Cross multiply
    43,725.38x = 94,140 × 94,140
  4. Step 4: Simplify right side
    43,725.38x = 8,862,339,600
  5. Step 5: Solve for x
    x = 8,862,339,600/43,725.38
  6. Step 6: Final answer
    x = 202,681.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.