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Finding the Third Proportional to 86,336 and 116,650

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Solution

The third proportional to 86,336 and 116,650 is: 157,607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,336 : 116,650 = 116,650 : x
  2. Step 2: Convert to fraction form
    86,336/116,650 = 116,650/x
  3. Step 3: Cross multiply
    86,336x = 116,650 × 116,650
  4. Step 4: Simplify right side
    86,336x = 13,607,222,500
  5. Step 5: Solve for x
    x = 13,607,222,500/86,336
  6. Step 6: Final answer
    x = 157,607.75

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