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Finding the Third Proportional to 86,625 and 116,788.50

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Solution

The third proportional to 86,625 and 116,788.50 is: 157,455.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,625 : 116,788.50 = 116,788.50 : x
  2. Step 2: Convert to fraction form
    86,625/116,788.50 = 116,788.50/x
  3. Step 3: Cross multiply
    86,625x = 116,788.50 × 116,788.50
  4. Step 4: Simplify right side
    86,625x = 13,639,553,732.25
  5. Step 5: Solve for x
    x = 13,639,553,732.25/86,625
  6. Step 6: Final answer
    x = 157,455.17

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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.