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Finding the Third Proportional to 109,172.50 and 237,566.67

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Solution

The third proportional to 109,172.50 and 237,566.67 is: 516,961.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,172.50 : 237,566.67 = 237,566.67 : x
  2. Step 2: Convert to fraction form
    109,172.50/237,566.67 = 237,566.67/x
  3. Step 3: Cross multiply
    109,172.50x = 237,566.67 × 237,566.67
  4. Step 4: Simplify right side
    109,172.50x = 56,437,923,585.76
  5. Step 5: Solve for x
    x = 56,437,923,585.76/109,172.50
  6. Step 6: Final answer
    x = 516,961.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.