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Finding the Third Proportional to 52,534 and 116,731

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Solution

The third proportional to 52,534 and 116,731 is: 259,377.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,534 : 116,731 = 116,731 : x
  2. Step 2: Convert to fraction form
    52,534/116,731 = 116,731/x
  3. Step 3: Cross multiply
    52,534x = 116,731 × 116,731
  4. Step 4: Simplify right side
    52,534x = 13,626,126,361
  5. Step 5: Solve for x
    x = 13,626,126,361/52,534
  6. Step 6: Final answer
    x = 259,377.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.