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Finding the Third Proportional to 72,911.25 and 114,226.88

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Solution

The third proportional to 72,911.25 and 114,226.88 is: 178,954.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,911.25 : 114,226.88 = 114,226.88 : x
  2. Step 2: Convert to fraction form
    72,911.25/114,226.88 = 114,226.88/x
  3. Step 3: Cross multiply
    72,911.25x = 114,226.88 × 114,226.88
  4. Step 4: Simplify right side
    72,911.25x = 13,047,778,972.27
  5. Step 5: Solve for x
    x = 13,047,778,972.27/72,911.25
  6. Step 6: Final answer
    x = 178,954.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.