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Finding the Third Proportional to 86,305 and 116,602

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Solution

The third proportional to 86,305 and 116,602 is: 157,534.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,305 : 116,602 = 116,602 : x
  2. Step 2: Convert to fraction form
    86,305/116,602 = 116,602/x
  3. Step 3: Cross multiply
    86,305x = 116,602 × 116,602
  4. Step 4: Simplify right side
    86,305x = 13,596,026,404
  5. Step 5: Solve for x
    x = 13,596,026,404/86,305
  6. Step 6: Final answer
    x = 157,534.63

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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.