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Finding the Third Proportional to 38,454 and 85,258

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Solution

The third proportional to 38,454 and 85,258 is: 189,029.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,454 : 85,258 = 85,258 : x
  2. Step 2: Convert to fraction form
    38,454/85,258 = 85,258/x
  3. Step 3: Cross multiply
    38,454x = 85,258 × 85,258
  4. Step 4: Simplify right side
    38,454x = 7,268,926,564
  5. Step 5: Solve for x
    x = 7,268,926,564/38,454
  6. Step 6: Final answer
    x = 189,029.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.