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Finding the Third Proportional to 62,197.50 and 132,526

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Solution

The third proportional to 62,197.50 and 132,526 is: 282,376.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,197.50 : 132,526 = 132,526 : x
  2. Step 2: Convert to fraction form
    62,197.50/132,526 = 132,526/x
  3. Step 3: Cross multiply
    62,197.50x = 132,526 × 132,526
  4. Step 4: Simplify right side
    62,197.50x = 17,563,140,676
  5. Step 5: Solve for x
    x = 17,563,140,676/62,197.50
  6. Step 6: Final answer
    x = 282,376.96

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.