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Finding the Third Proportional to 58,344 and 128,034

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Solution

The third proportional to 58,344 and 128,034 is: 280,966.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,344 : 128,034 = 128,034 : x
  2. Step 2: Convert to fraction form
    58,344/128,034 = 128,034/x
  3. Step 3: Cross multiply
    58,344x = 128,034 × 128,034
  4. Step 4: Simplify right side
    58,344x = 16,392,705,156
  5. Step 5: Solve for x
    x = 16,392,705,156/58,344
  6. Step 6: Final answer
    x = 280,966.43

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Why These Related Problems?

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