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Finding the Third Proportional to 58,747 and 125,803

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Solution

The third proportional to 58,747 and 125,803 is: 269,399.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,747 : 125,803 = 125,803 : x
  2. Step 2: Convert to fraction form
    58,747/125,803 = 125,803/x
  3. Step 3: Cross multiply
    58,747x = 125,803 × 125,803
  4. Step 4: Simplify right side
    58,747x = 15,826,394,809
  5. Step 5: Solve for x
    x = 15,826,394,809/58,747
  6. Step 6: Final answer
    x = 269,399.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.