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Finding the Third Proportional to 59,116 and 88,731

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Solution

The third proportional to 59,116 and 88,731 is: 133,182.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,116 : 88,731 = 88,731 : x
  2. Step 2: Convert to fraction form
    59,116/88,731 = 88,731/x
  3. Step 3: Cross multiply
    59,116x = 88,731 × 88,731
  4. Step 4: Simplify right side
    59,116x = 7,873,190,361
  5. Step 5: Solve for x
    x = 7,873,190,361/59,116
  6. Step 6: Final answer
    x = 133,182.05

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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.