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Finding the Third Proportional to 72,282.36 and 156,631.12

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Solution

The third proportional to 72,282.36 and 156,631.12 is: 339,409.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,282.36 : 156,631.12 = 156,631.12 : x
  2. Step 2: Convert to fraction form
    72,282.36/156,631.12 = 156,631.12/x
  3. Step 3: Cross multiply
    72,282.36x = 156,631.12 × 156,631.12
  4. Step 4: Simplify right side
    72,282.36x = 24,533,307,712.69
  5. Step 5: Solve for x
    x = 24,533,307,712.69/72,282.36
  6. Step 6: Final answer
    x = 339,409.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.