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Finding the Third Proportional to 88,619.25 and 136,214

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Solution

The third proportional to 88,619.25 and 136,214 is: 209,370.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,619.25 : 136,214 = 136,214 : x
  2. Step 2: Convert to fraction form
    88,619.25/136,214 = 136,214/x
  3. Step 3: Cross multiply
    88,619.25x = 136,214 × 136,214
  4. Step 4: Simplify right side
    88,619.25x = 18,554,253,796
  5. Step 5: Solve for x
    x = 18,554,253,796/88,619.25
  6. Step 6: Final answer
    x = 209,370.47

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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.