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Finding the Third Proportional to 76,511.75 and 107,554.50

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Solution

The third proportional to 76,511.75 and 107,554.50 is: 151,192.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,511.75 : 107,554.50 = 107,554.50 : x
  2. Step 2: Convert to fraction form
    76,511.75/107,554.50 = 107,554.50/x
  3. Step 3: Cross multiply
    76,511.75x = 107,554.50 × 107,554.50
  4. Step 4: Simplify right side
    76,511.75x = 11,567,970,470.25
  5. Step 5: Solve for x
    x = 11,567,970,470.25/76,511.75
  6. Step 6: Final answer
    x = 151,192.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.