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Finding the Third Proportional to 52,749 and 113,820.75

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Solution

The third proportional to 52,749 and 113,820.75 is: 245,600.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,749 : 113,820.75 = 113,820.75 : x
  2. Step 2: Convert to fraction form
    52,749/113,820.75 = 113,820.75/x
  3. Step 3: Cross multiply
    52,749x = 113,820.75 × 113,820.75
  4. Step 4: Simplify right side
    52,749x = 12,955,163,130.56
  5. Step 5: Solve for x
    x = 12,955,163,130.56/52,749
  6. Step 6: Final answer
    x = 245,600.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.