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Finding the Third Proportional to 51,100 and 81,258

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Solution

The third proportional to 51,100 and 81,258 is: 129,214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,100 : 81,258 = 81,258 : x
  2. Step 2: Convert to fraction form
    51,100/81,258 = 81,258/x
  3. Step 3: Cross multiply
    51,100x = 81,258 × 81,258
  4. Step 4: Simplify right side
    51,100x = 6,602,862,564
  5. Step 5: Solve for x
    x = 6,602,862,564/51,100
  6. Step 6: Final answer
    x = 129,214.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.