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Finding the Third Proportional to 40,284 and 88,209

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Solution

The third proportional to 40,284 and 88,209 is: 193,149.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,284 : 88,209 = 88,209 : x
  2. Step 2: Convert to fraction form
    40,284/88,209 = 88,209/x
  3. Step 3: Cross multiply
    40,284x = 88,209 × 88,209
  4. Step 4: Simplify right side
    40,284x = 7,780,827,681
  5. Step 5: Solve for x
    x = 7,780,827,681/40,284
  6. Step 6: Final answer
    x = 193,149.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.