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Finding the Third Proportional to 54,579 and 80,332.50

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Solution

The third proportional to 54,579 and 80,332.50 is: 118,237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,579 : 80,332.50 = 80,332.50 : x
  2. Step 2: Convert to fraction form
    54,579/80,332.50 = 80,332.50/x
  3. Step 3: Cross multiply
    54,579x = 80,332.50 × 80,332.50
  4. Step 4: Simplify right side
    54,579x = 6,453,310,556.25
  5. Step 5: Solve for x
    x = 6,453,310,556.25/54,579
  6. Step 6: Final answer
    x = 118,237.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.