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Finding the Third Proportional to 76,281.75 and 108,803.25

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Solution

The third proportional to 76,281.75 and 108,803.25 is: 155,189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,281.75 : 108,803.25 = 108,803.25 : x
  2. Step 2: Convert to fraction form
    76,281.75/108,803.25 = 108,803.25/x
  3. Step 3: Cross multiply
    76,281.75x = 108,803.25 × 108,803.25
  4. Step 4: Simplify right side
    76,281.75x = 11,838,147,210.56
  5. Step 5: Solve for x
    x = 11,838,147,210.56/76,281.75
  6. Step 6: Final answer
    x = 155,189.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.