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Finding the Third Proportional to 83,386 and 125,796

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Solution

The third proportional to 83,386 and 125,796 is: 189,775.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,386 : 125,796 = 125,796 : x
  2. Step 2: Convert to fraction form
    83,386/125,796 = 125,796/x
  3. Step 3: Cross multiply
    83,386x = 125,796 × 125,796
  4. Step 4: Simplify right side
    83,386x = 15,824,633,616
  5. Step 5: Solve for x
    x = 15,824,633,616/83,386
  6. Step 6: Final answer
    x = 189,775.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.