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Finding the Third Proportional to 76,014 and 175,955

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Solution

The third proportional to 76,014 and 175,955 is: 407,295.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,014 : 175,955 = 175,955 : x
  2. Step 2: Convert to fraction form
    76,014/175,955 = 175,955/x
  3. Step 3: Cross multiply
    76,014x = 175,955 × 175,955
  4. Step 4: Simplify right side
    76,014x = 30,960,162,025
  5. Step 5: Solve for x
    x = 30,960,162,025/76,014
  6. Step 6: Final answer
    x = 407,295.52

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.