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Finding the Third Proportional to 53,973 and 114,522

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Solution

The third proportional to 53,973 and 114,522 is: 242,997.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,973 : 114,522 = 114,522 : x
  2. Step 2: Convert to fraction form
    53,973/114,522 = 114,522/x
  3. Step 3: Cross multiply
    53,973x = 114,522 × 114,522
  4. Step 4: Simplify right side
    53,973x = 13,115,288,484
  5. Step 5: Solve for x
    x = 13,115,288,484/53,973
  6. Step 6: Final answer
    x = 242,997.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.