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Finding the Third Proportional to 59,446 and 88,185

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Solution

The third proportional to 59,446 and 88,185 is: 130,817.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,446 : 88,185 = 88,185 : x
  2. Step 2: Convert to fraction form
    59,446/88,185 = 88,185/x
  3. Step 3: Cross multiply
    59,446x = 88,185 × 88,185
  4. Step 4: Simplify right side
    59,446x = 7,776,594,225
  5. Step 5: Solve for x
    x = 7,776,594,225/59,446
  6. Step 6: Final answer
    x = 130,817.79

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.