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Finding the Third Proportional to 53,612 and 114,349

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Solution

The third proportional to 53,612 and 114,349 is: 243,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,612 : 114,349 = 114,349 : x
  2. Step 2: Convert to fraction form
    53,612/114,349 = 114,349/x
  3. Step 3: Cross multiply
    53,612x = 114,349 × 114,349
  4. Step 4: Simplify right side
    53,612x = 13,075,693,801
  5. Step 5: Solve for x
    x = 13,075,693,801/53,612
  6. Step 6: Final answer
    x = 243,894.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.