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Finding the Third Proportional to 72,909 and 93,163.50

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Solution

The third proportional to 72,909 and 93,163.50 is: 119,044.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,909 : 93,163.50 = 93,163.50 : x
  2. Step 2: Convert to fraction form
    72,909/93,163.50 = 93,163.50/x
  3. Step 3: Cross multiply
    72,909x = 93,163.50 × 93,163.50
  4. Step 4: Simplify right side
    72,909x = 8,679,437,732.25
  5. Step 5: Solve for x
    x = 8,679,437,732.25/72,909
  6. Step 6: Final answer
    x = 119,044.81

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.