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Finding the Third Proportional to 76,453.50 and 116,877

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Solution

The third proportional to 76,453.50 and 116,877 is: 178,673.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,453.50 : 116,877 = 116,877 : x
  2. Step 2: Convert to fraction form
    76,453.50/116,877 = 116,877/x
  3. Step 3: Cross multiply
    76,453.50x = 116,877 × 116,877
  4. Step 4: Simplify right side
    76,453.50x = 13,660,233,129
  5. Step 5: Solve for x
    x = 13,660,233,129/76,453.50
  6. Step 6: Final answer
    x = 178,673.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.