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Finding the Third Proportional to 58,505 and 85,563

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Solution

The third proportional to 58,505 and 85,563 is: 125,135.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,505 : 85,563 = 85,563 : x
  2. Step 2: Convert to fraction form
    58,505/85,563 = 85,563/x
  3. Step 3: Cross multiply
    58,505x = 85,563 × 85,563
  4. Step 4: Simplify right side
    58,505x = 7,321,026,969
  5. Step 5: Solve for x
    x = 7,321,026,969/58,505
  6. Step 6: Final answer
    x = 125,135.06

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.