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Finding the Third Proportional to 93,271.50 and 129,744

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Solution

The third proportional to 93,271.50 and 129,744 is: 180,478.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,271.50 : 129,744 = 129,744 : x
  2. Step 2: Convert to fraction form
    93,271.50/129,744 = 129,744/x
  3. Step 3: Cross multiply
    93,271.50x = 129,744 × 129,744
  4. Step 4: Simplify right side
    93,271.50x = 16,833,505,536
  5. Step 5: Solve for x
    x = 16,833,505,536/93,271.50
  6. Step 6: Final answer
    x = 180,478.55

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.