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Finding the Third Proportional to 73,104.19 and 157,086.84

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Solution

The third proportional to 73,104.19 and 157,086.84 is: 337,549.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,104.19 : 157,086.84 = 157,086.84 : x
  2. Step 2: Convert to fraction form
    73,104.19/157,086.84 = 157,086.84/x
  3. Step 3: Cross multiply
    73,104.19x = 157,086.84 × 157,086.84
  4. Step 4: Simplify right side
    73,104.19x = 24,676,276,479.34
  5. Step 5: Solve for x
    x = 24,676,276,479.34/73,104.19
  6. Step 6: Final answer
    x = 337,549.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.