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Finding the Third Proportional to 57,520 and 125,732

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Solution

The third proportional to 57,520 and 125,732 is: 274,835.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,520 : 125,732 = 125,732 : x
  2. Step 2: Convert to fraction form
    57,520/125,732 = 125,732/x
  3. Step 3: Cross multiply
    57,520x = 125,732 × 125,732
  4. Step 4: Simplify right side
    57,520x = 15,808,535,824
  5. Step 5: Solve for x
    x = 15,808,535,824/57,520
  6. Step 6: Final answer
    x = 274,835.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.