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Finding the Third Proportional to 62,086.50 and 131,569.50

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Solution

The third proportional to 62,086.50 and 131,569.50 is: 278,813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,086.50 : 131,569.50 = 131,569.50 : x
  2. Step 2: Convert to fraction form
    62,086.50/131,569.50 = 131,569.50/x
  3. Step 3: Cross multiply
    62,086.50x = 131,569.50 × 131,569.50
  4. Step 4: Simplify right side
    62,086.50x = 17,310,533,330.25
  5. Step 5: Solve for x
    x = 17,310,533,330.25/62,086.50
  6. Step 6: Final answer
    x = 278,813.16

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.