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Finding the Third Proportional to 59,086 and 88,673

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Solution

The third proportional to 59,086 and 88,673 is: 133,075.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,086 : 88,673 = 88,673 : x
  2. Step 2: Convert to fraction form
    59,086/88,673 = 88,673/x
  3. Step 3: Cross multiply
    59,086x = 88,673 × 88,673
  4. Step 4: Simplify right side
    59,086x = 7,862,900,929
  5. Step 5: Solve for x
    x = 7,862,900,929/59,086
  6. Step 6: Final answer
    x = 133,075.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.