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Finding the Third Proportional to 100,886.25 and 162,555

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Solution

The third proportional to 100,886.25 and 162,555 is: 261,920.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,886.25 : 162,555 = 162,555 : x
  2. Step 2: Convert to fraction form
    100,886.25/162,555 = 162,555/x
  3. Step 3: Cross multiply
    100,886.25x = 162,555 × 162,555
  4. Step 4: Simplify right side
    100,886.25x = 26,424,128,025
  5. Step 5: Solve for x
    x = 26,424,128,025/100,886.25
  6. Step 6: Final answer
    x = 261,920.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.