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Finding the Third Proportional to 59,800 and 131,210

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Solution

The third proportional to 59,800 and 131,210 is: 287,894.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,800 : 131,210 = 131,210 : x
  2. Step 2: Convert to fraction form
    59,800/131,210 = 131,210/x
  3. Step 3: Cross multiply
    59,800x = 131,210 × 131,210
  4. Step 4: Simplify right side
    59,800x = 17,216,064,100
  5. Step 5: Solve for x
    x = 17,216,064,100/59,800
  6. Step 6: Final answer
    x = 287,894.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.