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Finding the Third Proportional to 79,365 and 107,786.25

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Solution

The third proportional to 79,365 and 107,786.25 is: 146,385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,365 : 107,786.25 = 107,786.25 : x
  2. Step 2: Convert to fraction form
    79,365/107,786.25 = 107,786.25/x
  3. Step 3: Cross multiply
    79,365x = 107,786.25 × 107,786.25
  4. Step 4: Simplify right side
    79,365x = 11,617,875,689.06
  5. Step 5: Solve for x
    x = 11,617,875,689.06/79,365
  6. Step 6: Final answer
    x = 146,385.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.