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Finding the Third Proportional to 57,056.25 and 87,509.63

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Solution

The third proportional to 57,056.25 and 87,509.63 is: 134,217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,056.25 : 87,509.63 = 87,509.63 : x
  2. Step 2: Convert to fraction form
    57,056.25/87,509.63 = 87,509.63/x
  3. Step 3: Cross multiply
    57,056.25x = 87,509.63 × 87,509.63
  4. Step 4: Simplify right side
    57,056.25x = 7,657,934,467.64
  5. Step 5: Solve for x
    x = 7,657,934,467.64/57,056.25
  6. Step 6: Final answer
    x = 134,217.28

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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.