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Finding the Third Proportional to 57,365 and 88,605

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Solution

The third proportional to 57,365 and 88,605 is: 136,857.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,365 : 88,605 = 88,605 : x
  2. Step 2: Convert to fraction form
    57,365/88,605 = 88,605/x
  3. Step 3: Cross multiply
    57,365x = 88,605 × 88,605
  4. Step 4: Simplify right side
    57,365x = 7,850,846,025
  5. Step 5: Solve for x
    x = 7,850,846,025/57,365
  6. Step 6: Final answer
    x = 136,857.77

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.