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Finding the Third Proportional to 40,259 and 88,011

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Solution

The third proportional to 40,259 and 88,011 is: 192,402.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,259 : 88,011 = 88,011 : x
  2. Step 2: Convert to fraction form
    40,259/88,011 = 88,011/x
  3. Step 3: Cross multiply
    40,259x = 88,011 × 88,011
  4. Step 4: Simplify right side
    40,259x = 7,745,936,121
  5. Step 5: Solve for x
    x = 7,745,936,121/40,259
  6. Step 6: Final answer
    x = 192,402.60

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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.