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Finding the Third Proportional to 76,684.88 and 157,088.25

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Solution

The third proportional to 76,684.88 and 157,088.25 is: 321,793.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,684.88 : 157,088.25 = 157,088.25 : x
  2. Step 2: Convert to fraction form
    76,684.88/157,088.25 = 157,088.25/x
  3. Step 3: Cross multiply
    76,684.88x = 157,088.25 × 157,088.25
  4. Step 4: Simplify right side
    76,684.88x = 24,676,718,288.06
  5. Step 5: Solve for x
    x = 24,676,718,288.06/76,684.88
  6. Step 6: Final answer
    x = 321,793.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.