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Finding the Third Proportional to 58,219.50 and 108,267

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Solution

The third proportional to 58,219.50 and 108,267 is: 201,337.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,219.50 : 108,267 = 108,267 : x
  2. Step 2: Convert to fraction form
    58,219.50/108,267 = 108,267/x
  3. Step 3: Cross multiply
    58,219.50x = 108,267 × 108,267
  4. Step 4: Simplify right side
    58,219.50x = 11,721,743,289
  5. Step 5: Solve for x
    x = 11,721,743,289/58,219.50
  6. Step 6: Final answer
    x = 201,337.07

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.