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Finding the Third Proportional to 75,930 and 115,768

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Solution

The third proportional to 75,930 and 115,768 is: 176,507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,930 : 115,768 = 115,768 : x
  2. Step 2: Convert to fraction form
    75,930/115,768 = 115,768/x
  3. Step 3: Cross multiply
    75,930x = 115,768 × 115,768
  4. Step 4: Simplify right side
    75,930x = 13,402,229,824
  5. Step 5: Solve for x
    x = 13,402,229,824/75,930
  6. Step 6: Final answer
    x = 176,507.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.