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Finding the Third Proportional to 58,438.50 and 128,001

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Solution

The third proportional to 58,438.50 and 128,001 is: 280,367.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,438.50 : 128,001 = 128,001 : x
  2. Step 2: Convert to fraction form
    58,438.50/128,001 = 128,001/x
  3. Step 3: Cross multiply
    58,438.50x = 128,001 × 128,001
  4. Step 4: Simplify right side
    58,438.50x = 16,384,256,001
  5. Step 5: Solve for x
    x = 16,384,256,001/58,438.50
  6. Step 6: Final answer
    x = 280,367.50

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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.