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Finding the Third Proportional to 40,278 and 86,385

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Solution

The third proportional to 40,278 and 86,385 is: 185,271.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,278 : 86,385 = 86,385 : x
  2. Step 2: Convert to fraction form
    40,278/86,385 = 86,385/x
  3. Step 3: Cross multiply
    40,278x = 86,385 × 86,385
  4. Step 4: Simplify right side
    40,278x = 7,462,368,225
  5. Step 5: Solve for x
    x = 7,462,368,225/40,278
  6. Step 6: Final answer
    x = 185,271.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.