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Finding the Third Proportional to 114,531 and 171,267.50

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Solution

The third proportional to 114,531 and 171,267.50 is: 256,110.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,531 : 171,267.50 = 171,267.50 : x
  2. Step 2: Convert to fraction form
    114,531/171,267.50 = 171,267.50/x
  3. Step 3: Cross multiply
    114,531x = 171,267.50 × 171,267.50
  4. Step 4: Simplify right side
    114,531x = 29,332,556,556.25
  5. Step 5: Solve for x
    x = 29,332,556,556.25/114,531
  6. Step 6: Final answer
    x = 256,110.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.