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Finding the Third Proportional to 57,218 and 88,595

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Solution

The third proportional to 57,218 and 88,595 is: 137,178.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,218 : 88,595 = 88,595 : x
  2. Step 2: Convert to fraction form
    57,218/88,595 = 88,595/x
  3. Step 3: Cross multiply
    57,218x = 88,595 × 88,595
  4. Step 4: Simplify right side
    57,218x = 7,849,074,025
  5. Step 5: Solve for x
    x = 7,849,074,025/57,218
  6. Step 6: Final answer
    x = 137,178.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.