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Finding the Third Proportional to 75,012 and 115,632

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Solution

The third proportional to 75,012 and 115,632 is: 178,248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,012 : 115,632 = 115,632 : x
  2. Step 2: Convert to fraction form
    75,012/115,632 = 115,632/x
  3. Step 3: Cross multiply
    75,012x = 115,632 × 115,632
  4. Step 4: Simplify right side
    75,012x = 13,370,759,424
  5. Step 5: Solve for x
    x = 13,370,759,424/75,012
  6. Step 6: Final answer
    x = 178,248.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.