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Finding the Third Proportional to 117,006 and 171,121.50

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Solution

The third proportional to 117,006 and 171,121.50 is: 250,265.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,006 : 171,121.50 = 171,121.50 : x
  2. Step 2: Convert to fraction form
    117,006/171,121.50 = 171,121.50/x
  3. Step 3: Cross multiply
    117,006x = 171,121.50 × 171,121.50
  4. Step 4: Simplify right side
    117,006x = 29,282,567,762.25
  5. Step 5: Solve for x
    x = 29,282,567,762.25/117,006
  6. Step 6: Final answer
    x = 250,265.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.