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Finding the Third Proportional to 76,681.69 and 167,116.13

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Solution

The third proportional to 76,681.69 and 167,116.13 is: 364,204.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,681.69 : 167,116.13 = 167,116.13 : x
  2. Step 2: Convert to fraction form
    76,681.69/167,116.13 = 167,116.13/x
  3. Step 3: Cross multiply
    76,681.69x = 167,116.13 × 167,116.13
  4. Step 4: Simplify right side
    76,681.69x = 27,927,801,193.41
  5. Step 5: Solve for x
    x = 27,927,801,193.41/76,681.69
  6. Step 6: Final answer
    x = 364,204.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.