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Finding the Third Proportional to 58,442 and 128,000

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Solution

The third proportional to 58,442 and 128,000 is: 280,346.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,442 : 128,000 = 128,000 : x
  2. Step 2: Convert to fraction form
    58,442/128,000 = 128,000/x
  3. Step 3: Cross multiply
    58,442x = 128,000 × 128,000
  4. Step 4: Simplify right side
    58,442x = 16,384,000,000
  5. Step 5: Solve for x
    x = 16,384,000,000/58,442
  6. Step 6: Final answer
    x = 280,346.33

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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.