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Finding the Third Proportional to 69,539.50 and 142,385

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Solution

The third proportional to 69,539.50 and 142,385 is: 291,539.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,539.50 : 142,385 = 142,385 : x
  2. Step 2: Convert to fraction form
    69,539.50/142,385 = 142,385/x
  3. Step 3: Cross multiply
    69,539.50x = 142,385 × 142,385
  4. Step 4: Simplify right side
    69,539.50x = 20,273,488,225
  5. Step 5: Solve for x
    x = 20,273,488,225/69,539.50
  6. Step 6: Final answer
    x = 291,539.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.