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Finding the Third Proportional to 72,998 and 80,678

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Solution

The third proportional to 72,998 and 80,678 is: 89,166.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,998 : 80,678 = 80,678 : x
  2. Step 2: Convert to fraction form
    72,998/80,678 = 80,678/x
  3. Step 3: Cross multiply
    72,998x = 80,678 × 80,678
  4. Step 4: Simplify right side
    72,998x = 6,508,939,684
  5. Step 5: Solve for x
    x = 6,508,939,684/72,998
  6. Step 6: Final answer
    x = 89,166.00

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.