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Finding the Third Proportional to 72,318 and 115,044

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Solution

The third proportional to 72,318 and 115,044 is: 183,012.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,318 : 115,044 = 115,044 : x
  2. Step 2: Convert to fraction form
    72,318/115,044 = 115,044/x
  3. Step 3: Cross multiply
    72,318x = 115,044 × 115,044
  4. Step 4: Simplify right side
    72,318x = 13,235,121,936
  5. Step 5: Solve for x
    x = 13,235,121,936/72,318
  6. Step 6: Final answer
    x = 183,012.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.