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Finding the Third Proportional to 52,938 and 113,553

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Solution

The third proportional to 52,938 and 113,553 is: 243,573.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,938 : 113,553 = 113,553 : x
  2. Step 2: Convert to fraction form
    52,938/113,553 = 113,553/x
  3. Step 3: Cross multiply
    52,938x = 113,553 × 113,553
  4. Step 4: Simplify right side
    52,938x = 12,894,283,809
  5. Step 5: Solve for x
    x = 12,894,283,809/52,938
  6. Step 6: Final answer
    x = 243,573.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.