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Finding the Third Proportional to 38,358 and 85,644

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Solution

The third proportional to 38,358 and 85,644 is: 191,222.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,358 : 85,644 = 85,644 : x
  2. Step 2: Convert to fraction form
    38,358/85,644 = 85,644/x
  3. Step 3: Cross multiply
    38,358x = 85,644 × 85,644
  4. Step 4: Simplify right side
    38,358x = 7,334,894,736
  5. Step 5: Solve for x
    x = 7,334,894,736/38,358
  6. Step 6: Final answer
    x = 191,222.03

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.