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Finding the Third Proportional to 53,757 and 75,201

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Solution

The third proportional to 53,757 and 75,201 is: 105,199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,757 : 75,201 = 75,201 : x
  2. Step 2: Convert to fraction form
    53,757/75,201 = 75,201/x
  3. Step 3: Cross multiply
    53,757x = 75,201 × 75,201
  4. Step 4: Simplify right side
    53,757x = 5,655,190,401
  5. Step 5: Solve for x
    x = 5,655,190,401/53,757
  6. Step 6: Final answer
    x = 105,199.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.