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Finding the Third Proportional to 73,493.63 and 161,000.44

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Solution

The third proportional to 73,493.63 and 161,000.44 is: 352,699.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,493.63 : 161,000.44 = 161,000.44 : x
  2. Step 2: Convert to fraction form
    73,493.63/161,000.44 = 161,000.44/x
  3. Step 3: Cross multiply
    73,493.63x = 161,000.44 × 161,000.44
  4. Step 4: Simplify right side
    73,493.63x = 25,921,140,875.19
  5. Step 5: Solve for x
    x = 25,921,140,875.19/73,493.63
  6. Step 6: Final answer
    x = 352,699.17

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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.