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Finding the Third Proportional to 57,423 and 121,803

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Solution

The third proportional to 57,423 and 121,803 is: 258,362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,423 : 121,803 = 121,803 : x
  2. Step 2: Convert to fraction form
    57,423/121,803 = 121,803/x
  3. Step 3: Cross multiply
    57,423x = 121,803 × 121,803
  4. Step 4: Simplify right side
    57,423x = 14,835,970,809
  5. Step 5: Solve for x
    x = 14,835,970,809/57,423
  6. Step 6: Final answer
    x = 258,362.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.