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Finding the Third Proportional to 86,263 and 118,786

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Solution

The third proportional to 86,263 and 118,786 is: 163,570.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,263 : 118,786 = 118,786 : x
  2. Step 2: Convert to fraction form
    86,263/118,786 = 118,786/x
  3. Step 3: Cross multiply
    86,263x = 118,786 × 118,786
  4. Step 4: Simplify right side
    86,263x = 14,110,113,796
  5. Step 5: Solve for x
    x = 14,110,113,796/86,263
  6. Step 6: Final answer
    x = 163,570.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.