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Finding the Third Proportional to 59,842 and 131,348

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Solution

The third proportional to 59,842 and 131,348 is: 288,297.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,842 : 131,348 = 131,348 : x
  2. Step 2: Convert to fraction form
    59,842/131,348 = 131,348/x
  3. Step 3: Cross multiply
    59,842x = 131,348 × 131,348
  4. Step 4: Simplify right side
    59,842x = 17,252,297,104
  5. Step 5: Solve for x
    x = 17,252,297,104/59,842
  6. Step 6: Final answer
    x = 288,297.47

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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.