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Finding the Third Proportional to 38,902 and 85,346

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Solution

The third proportional to 38,902 and 85,346 is: 187,238.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,902 : 85,346 = 85,346 : x
  2. Step 2: Convert to fraction form
    38,902/85,346 = 85,346/x
  3. Step 3: Cross multiply
    38,902x = 85,346 × 85,346
  4. Step 4: Simplify right side
    38,902x = 7,283,939,716
  5. Step 5: Solve for x
    x = 7,283,939,716/38,902
  6. Step 6: Final answer
    x = 187,238.18

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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.