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Finding the Third Proportional to 75,924 and 115,758

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Solution

The third proportional to 75,924 and 115,758 is: 176,491.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,924 : 115,758 = 115,758 : x
  2. Step 2: Convert to fraction form
    75,924/115,758 = 115,758/x
  3. Step 3: Cross multiply
    75,924x = 115,758 × 115,758
  4. Step 4: Simplify right side
    75,924x = 13,399,914,564
  5. Step 5: Solve for x
    x = 13,399,914,564/75,924
  6. Step 6: Final answer
    x = 176,491.16

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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.