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Finding the Third Proportional to 76,035 and 162,726

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Solution

The third proportional to 76,035 and 162,726 is: 348,257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,035 : 162,726 = 162,726 : x
  2. Step 2: Convert to fraction form
    76,035/162,726 = 162,726/x
  3. Step 3: Cross multiply
    76,035x = 162,726 × 162,726
  4. Step 4: Simplify right side
    76,035x = 26,479,751,076
  5. Step 5: Solve for x
    x = 26,479,751,076/76,035
  6. Step 6: Final answer
    x = 348,257.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.