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Finding the Third Proportional to 53,433 and 114,273

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Solution

The third proportional to 53,433 and 114,273 is: 244,386.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,433 : 114,273 = 114,273 : x
  2. Step 2: Convert to fraction form
    53,433/114,273 = 114,273/x
  3. Step 3: Cross multiply
    53,433x = 114,273 × 114,273
  4. Step 4: Simplify right side
    53,433x = 13,058,318,529
  5. Step 5: Solve for x
    x = 13,058,318,529/53,433
  6. Step 6: Final answer
    x = 244,386.77

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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.