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Finding the Third Proportional to 45,337 and 71,772

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Solution

The third proportional to 45,337 and 71,772 is: 113,620.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,337 : 71,772 = 71,772 : x
  2. Step 2: Convert to fraction form
    45,337/71,772 = 71,772/x
  3. Step 3: Cross multiply
    45,337x = 71,772 × 71,772
  4. Step 4: Simplify right side
    45,337x = 5,151,219,984
  5. Step 5: Solve for x
    x = 5,151,219,984/45,337
  6. Step 6: Final answer
    x = 113,620.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.