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Finding the Third Proportional to 57,429 and 83,916

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Solution

The third proportional to 57,429 and 83,916 is: 122,619.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,429 : 83,916 = 83,916 : x
  2. Step 2: Convert to fraction form
    57,429/83,916 = 83,916/x
  3. Step 3: Cross multiply
    57,429x = 83,916 × 83,916
  4. Step 4: Simplify right side
    57,429x = 7,041,895,056
  5. Step 5: Solve for x
    x = 7,041,895,056/57,429
  6. Step 6: Final answer
    x = 122,619.15

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.