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Finding the Third Proportional to 86,969 and 117,493

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Solution

The third proportional to 86,969 and 117,493 is: 158,730.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,969 : 117,493 = 117,493 : x
  2. Step 2: Convert to fraction form
    86,969/117,493 = 117,493/x
  3. Step 3: Cross multiply
    86,969x = 117,493 × 117,493
  4. Step 4: Simplify right side
    86,969x = 13,804,605,049
  5. Step 5: Solve for x
    x = 13,804,605,049/86,969
  6. Step 6: Final answer
    x = 158,730.18

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.