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Finding the Third Proportional to 59,116 and 128,600

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Solution

The third proportional to 59,116 and 128,600 is: 279,754.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,116 : 128,600 = 128,600 : x
  2. Step 2: Convert to fraction form
    59,116/128,600 = 128,600/x
  3. Step 3: Cross multiply
    59,116x = 128,600 × 128,600
  4. Step 4: Simplify right side
    59,116x = 16,537,960,000
  5. Step 5: Solve for x
    x = 16,537,960,000/59,116
  6. Step 6: Final answer
    x = 279,754.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.