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Finding the Third Proportional to 130,399.88 and 172,226.25

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Solution

The third proportional to 130,399.88 and 172,226.25 is: 227,468.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,399.88 : 172,226.25 = 172,226.25 : x
  2. Step 2: Convert to fraction form
    130,399.88/172,226.25 = 172,226.25/x
  3. Step 3: Cross multiply
    130,399.88x = 172,226.25 × 172,226.25
  4. Step 4: Simplify right side
    130,399.88x = 29,661,881,189.06
  5. Step 5: Solve for x
    x = 29,661,881,189.06/130,399.88
  6. Step 6: Final answer
    x = 227,468.63

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.