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Finding the Third Proportional to 72,181.13 and 160,354.69

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Solution

The third proportional to 72,181.13 and 160,354.69 is: 356,237.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,181.13 : 160,354.69 = 160,354.69 : x
  2. Step 2: Convert to fraction form
    72,181.13/160,354.69 = 160,354.69/x
  3. Step 3: Cross multiply
    72,181.13x = 160,354.69 × 160,354.69
  4. Step 4: Simplify right side
    72,181.13x = 25,713,625,803.22
  5. Step 5: Solve for x
    x = 25,713,625,803.22/72,181.13
  6. Step 6: Final answer
    x = 356,237.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.