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Finding the Third Proportional to 53,973 and 114,522.75

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Solution

The third proportional to 53,973 and 114,522.75 is: 243,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,973 : 114,522.75 = 114,522.75 : x
  2. Step 2: Convert to fraction form
    53,973/114,522.75 = 114,522.75/x
  3. Step 3: Cross multiply
    53,973x = 114,522.75 × 114,522.75
  4. Step 4: Simplify right side
    53,973x = 13,115,460,267.56
  5. Step 5: Solve for x
    x = 13,115,460,267.56/53,973
  6. Step 6: Final answer
    x = 243,000.39

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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.