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Finding the Third Proportional to 57,265.50 and 87,378.94

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Solution

The third proportional to 57,265.50 and 87,378.94 is: 133,327.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,265.50 : 87,378.94 = 87,378.94 : x
  2. Step 2: Convert to fraction form
    57,265.50/87,378.94 = 87,378.94/x
  3. Step 3: Cross multiply
    57,265.50x = 87,378.94 × 87,378.94
  4. Step 4: Simplify right side
    57,265.50x = 7,635,078,718.63
  5. Step 5: Solve for x
    x = 7,635,078,718.63/57,265.50
  6. Step 6: Final answer
    x = 133,327.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.