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Finding the Third Proportional to 59,684 and 131,788

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Solution

The third proportional to 59,684 and 131,788 is: 291,000.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,684 : 131,788 = 131,788 : x
  2. Step 2: Convert to fraction form
    59,684/131,788 = 131,788/x
  3. Step 3: Cross multiply
    59,684x = 131,788 × 131,788
  4. Step 4: Simplify right side
    59,684x = 17,368,076,944
  5. Step 5: Solve for x
    x = 17,368,076,944/59,684
  6. Step 6: Final answer
    x = 291,000.55

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.