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Finding the Third Proportional to 57,356 and 86,898

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Solution

The third proportional to 57,356 and 86,898 is: 131,656.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,356 : 86,898 = 86,898 : x
  2. Step 2: Convert to fraction form
    57,356/86,898 = 86,898/x
  3. Step 3: Cross multiply
    57,356x = 86,898 × 86,898
  4. Step 4: Simplify right side
    57,356x = 7,551,262,404
  5. Step 5: Solve for x
    x = 7,551,262,404/57,356
  6. Step 6: Final answer
    x = 131,656.02

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.