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Finding the Third Proportional to 76,048.88 and 109,532.25

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Solution

The third proportional to 76,048.88 and 109,532.25 is: 157,757.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,048.88 : 109,532.25 = 109,532.25 : x
  2. Step 2: Convert to fraction form
    76,048.88/109,532.25 = 109,532.25/x
  3. Step 3: Cross multiply
    76,048.88x = 109,532.25 × 109,532.25
  4. Step 4: Simplify right side
    76,048.88x = 11,997,313,790.06
  5. Step 5: Solve for x
    x = 11,997,313,790.06/76,048.88
  6. Step 6: Final answer
    x = 157,757.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.