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Finding the Third Proportional to 81,279 and 116,005.50

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Solution

The third proportional to 81,279 and 116,005.50 is: 165,568.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,279 : 116,005.50 = 116,005.50 : x
  2. Step 2: Convert to fraction form
    81,279/116,005.50 = 116,005.50/x
  3. Step 3: Cross multiply
    81,279x = 116,005.50 × 116,005.50
  4. Step 4: Simplify right side
    81,279x = 13,457,276,030.25
  5. Step 5: Solve for x
    x = 13,457,276,030.25/81,279
  6. Step 6: Final answer
    x = 165,568.92

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.