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Finding the Third Proportional to 62,563 and 136,143

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Solution

The third proportional to 62,563 and 136,143 is: 296,260.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,563 : 136,143 = 136,143 : x
  2. Step 2: Convert to fraction form
    62,563/136,143 = 136,143/x
  3. Step 3: Cross multiply
    62,563x = 136,143 × 136,143
  4. Step 4: Simplify right side
    62,563x = 18,534,916,449
  5. Step 5: Solve for x
    x = 18,534,916,449/62,563
  6. Step 6: Final answer
    x = 296,260.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.