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Finding the Third Proportional to 76,362.75 and 109,080.42

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Solution

The third proportional to 76,362.75 and 109,080.42 is: 155,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,362.75 : 109,080.42 = 109,080.42 : x
  2. Step 2: Convert to fraction form
    76,362.75/109,080.42 = 109,080.42/x
  3. Step 3: Cross multiply
    76,362.75x = 109,080.42 × 109,080.42
  4. Step 4: Simplify right side
    76,362.75x = 11,898,538,436.43
  5. Step 5: Solve for x
    x = 11,898,538,436.43/76,362.75
  6. Step 6: Final answer
    x = 155,816.00

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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.