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Finding the Third Proportional to 55,323 and 83,025

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Solution

The third proportional to 55,323 and 83,025 is: 124,598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,323 : 83,025 = 83,025 : x
  2. Step 2: Convert to fraction form
    55,323/83,025 = 83,025/x
  3. Step 3: Cross multiply
    55,323x = 83,025 × 83,025
  4. Step 4: Simplify right side
    55,323x = 6,893,150,625
  5. Step 5: Solve for x
    x = 6,893,150,625/55,323
  6. Step 6: Final answer
    x = 124,598.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.