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Finding the Third Proportional to 58,474 and 128,612

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Solution

The third proportional to 58,474 and 128,612 is: 282,878.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,474 : 128,612 = 128,612 : x
  2. Step 2: Convert to fraction form
    58,474/128,612 = 128,612/x
  3. Step 3: Cross multiply
    58,474x = 128,612 × 128,612
  4. Step 4: Simplify right side
    58,474x = 16,541,046,544
  5. Step 5: Solve for x
    x = 16,541,046,544/58,474
  6. Step 6: Final answer
    x = 282,878.66

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.