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Finding the Third Proportional to 75,424 and 114,736

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Solution

The third proportional to 75,424 and 114,736 is: 174,537.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,424 : 114,736 = 114,736 : x
  2. Step 2: Convert to fraction form
    75,424/114,736 = 114,736/x
  3. Step 3: Cross multiply
    75,424x = 114,736 × 114,736
  4. Step 4: Simplify right side
    75,424x = 13,164,349,696
  5. Step 5: Solve for x
    x = 13,164,349,696/75,424
  6. Step 6: Final answer
    x = 174,537.94

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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.