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Finding the Third Proportional to 76,653 and 167,886

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Solution

The third proportional to 76,653 and 167,886 is: 367,705.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,653 : 167,886 = 167,886 : x
  2. Step 2: Convert to fraction form
    76,653/167,886 = 167,886/x
  3. Step 3: Cross multiply
    76,653x = 167,886 × 167,886
  4. Step 4: Simplify right side
    76,653x = 28,185,708,996
  5. Step 5: Solve for x
    x = 28,185,708,996/76,653
  6. Step 6: Final answer
    x = 367,705.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.