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Finding the Third Proportional to 93,871.69 and 137,271.09

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Solution

The third proportional to 93,871.69 and 137,271.09 is: 200,735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,871.69 : 137,271.09 = 137,271.09 : x
  2. Step 2: Convert to fraction form
    93,871.69/137,271.09 = 137,271.09/x
  3. Step 3: Cross multiply
    93,871.69x = 137,271.09 × 137,271.09
  4. Step 4: Simplify right side
    93,871.69x = 18,843,353,179.32
  5. Step 5: Solve for x
    x = 18,843,353,179.32/93,871.69
  6. Step 6: Final answer
    x = 200,735.21

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.