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Finding the Third Proportional to 56,832 and 90,788

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Solution

The third proportional to 56,832 and 90,788 is: 145,032.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,832 : 90,788 = 90,788 : x
  2. Step 2: Convert to fraction form
    56,832/90,788 = 90,788/x
  3. Step 3: Cross multiply
    56,832x = 90,788 × 90,788
  4. Step 4: Simplify right side
    56,832x = 8,242,460,944
  5. Step 5: Solve for x
    x = 8,242,460,944/56,832
  6. Step 6: Final answer
    x = 145,032.04

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.