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Finding the Third Proportional to 115,656.88 and 172,525.88

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Solution

The third proportional to 115,656.88 and 172,525.88 is: 257,357.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,656.88 : 172,525.88 = 172,525.88 : x
  2. Step 2: Convert to fraction form
    115,656.88/172,525.88 = 172,525.88/x
  3. Step 3: Cross multiply
    115,656.88x = 172,525.88 × 172,525.88
  4. Step 4: Simplify right side
    115,656.88x = 29,765,177,544.52
  5. Step 5: Solve for x
    x = 29,765,177,544.52/115,656.88
  6. Step 6: Final answer
    x = 257,357.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.