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Finding the Third Proportional to 73,914.47 and 161,770.78

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Solution

The third proportional to 73,914.47 and 161,770.78 is: 354,054.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,914.47 : 161,770.78 = 161,770.78 : x
  2. Step 2: Convert to fraction form
    73,914.47/161,770.78 = 161,770.78/x
  3. Step 3: Cross multiply
    73,914.47x = 161,770.78 × 161,770.78
  4. Step 4: Simplify right side
    73,914.47x = 26,169,785,666.24
  5. Step 5: Solve for x
    x = 26,169,785,666.24/73,914.47
  6. Step 6: Final answer
    x = 354,054.98

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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.