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Finding the Third Proportional to 58,990.75 and 127,823

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Solution

The third proportional to 58,990.75 and 127,823 is: 276,970.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,990.75 : 127,823 = 127,823 : x
  2. Step 2: Convert to fraction form
    58,990.75/127,823 = 127,823/x
  3. Step 3: Cross multiply
    58,990.75x = 127,823 × 127,823
  4. Step 4: Simplify right side
    58,990.75x = 16,338,719,329
  5. Step 5: Solve for x
    x = 16,338,719,329/58,990.75
  6. Step 6: Final answer
    x = 276,970.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.