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Finding the Third Proportional to 83,023 and 131,258

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Solution

The third proportional to 83,023 and 131,258 is: 207,516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,023 : 131,258 = 131,258 : x
  2. Step 2: Convert to fraction form
    83,023/131,258 = 131,258/x
  3. Step 3: Cross multiply
    83,023x = 131,258 × 131,258
  4. Step 4: Simplify right side
    83,023x = 17,228,662,564
  5. Step 5: Solve for x
    x = 17,228,662,564/83,023
  6. Step 6: Final answer
    x = 207,516.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.