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Finding the Third Proportional to 116,658.75 and 172,525.50

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Solution

The third proportional to 116,658.75 and 172,525.50 is: 255,146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,658.75 : 172,525.50 = 172,525.50 : x
  2. Step 2: Convert to fraction form
    116,658.75/172,525.50 = 172,525.50/x
  3. Step 3: Cross multiply
    116,658.75x = 172,525.50 × 172,525.50
  4. Step 4: Simplify right side
    116,658.75x = 29,765,048,150.25
  5. Step 5: Solve for x
    x = 29,765,048,150.25/116,658.75
  6. Step 6: Final answer
    x = 255,146.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.