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Finding the Third Proportional to 115,593.75 and 169,390.13

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Solution

The third proportional to 115,593.75 and 169,390.13 is: 248,222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,593.75 : 169,390.13 = 169,390.13 : x
  2. Step 2: Convert to fraction form
    115,593.75/169,390.13 = 169,390.13/x
  3. Step 3: Cross multiply
    115,593.75x = 169,390.13 × 169,390.13
  4. Step 4: Simplify right side
    115,593.75x = 28,693,014,447.52
  5. Step 5: Solve for x
    x = 28,693,014,447.52/115,593.75
  6. Step 6: Final answer
    x = 248,222.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.