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Finding the Third Proportional to 53,201 and 112,549

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Solution

The third proportional to 53,201 and 112,549 is: 238,102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,201 : 112,549 = 112,549 : x
  2. Step 2: Convert to fraction form
    53,201/112,549 = 112,549/x
  3. Step 3: Cross multiply
    53,201x = 112,549 × 112,549
  4. Step 4: Simplify right side
    53,201x = 12,667,277,401
  5. Step 5: Solve for x
    x = 12,667,277,401/53,201
  6. Step 6: Final answer
    x = 238,102.24

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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.