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Finding the Third Proportional to 107,528 and 167,180

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Solution

The third proportional to 107,528 and 167,180 is: 259,924.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,528 : 167,180 = 167,180 : x
  2. Step 2: Convert to fraction form
    107,528/167,180 = 167,180/x
  3. Step 3: Cross multiply
    107,528x = 167,180 × 167,180
  4. Step 4: Simplify right side
    107,528x = 27,949,152,400
  5. Step 5: Solve for x
    x = 27,949,152,400/107,528
  6. Step 6: Final answer
    x = 259,924.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.