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Finding the Third Proportional to 53,624 and 114,373

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Solution

The third proportional to 53,624 and 114,373 is: 243,942.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,624 : 114,373 = 114,373 : x
  2. Step 2: Convert to fraction form
    53,624/114,373 = 114,373/x
  3. Step 3: Cross multiply
    53,624x = 114,373 × 114,373
  4. Step 4: Simplify right side
    53,624x = 13,081,183,129
  5. Step 5: Solve for x
    x = 13,081,183,129/53,624
  6. Step 6: Final answer
    x = 243,942.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.