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Finding the Third Proportional to 76,268.25 and 157,842

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Solution

The third proportional to 76,268.25 and 157,842 is: 326,664.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,268.25 : 157,842 = 157,842 : x
  2. Step 2: Convert to fraction form
    76,268.25/157,842 = 157,842/x
  3. Step 3: Cross multiply
    76,268.25x = 157,842 × 157,842
  4. Step 4: Simplify right side
    76,268.25x = 24,914,096,964
  5. Step 5: Solve for x
    x = 24,914,096,964/76,268.25
  6. Step 6: Final answer
    x = 326,664.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.