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Finding the Third Proportional to 58,392 and 88,096

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Solution

The third proportional to 58,392 and 88,096 is: 132,910.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,392 : 88,096 = 88,096 : x
  2. Step 2: Convert to fraction form
    58,392/88,096 = 88,096/x
  3. Step 3: Cross multiply
    58,392x = 88,096 × 88,096
  4. Step 4: Simplify right side
    58,392x = 7,760,905,216
  5. Step 5: Solve for x
    x = 7,760,905,216/58,392
  6. Step 6: Final answer
    x = 132,910.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.