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Finding the Third Proportional to 52,749.50 and 113,821.75

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Solution

The third proportional to 52,749.50 and 113,821.75 is: 245,602.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,749.50 : 113,821.75 = 113,821.75 : x
  2. Step 2: Convert to fraction form
    52,749.50/113,821.75 = 113,821.75/x
  3. Step 3: Cross multiply
    52,749.50x = 113,821.75 × 113,821.75
  4. Step 4: Simplify right side
    52,749.50x = 12,955,390,773.06
  5. Step 5: Solve for x
    x = 12,955,390,773.06/52,749.50
  6. Step 6: Final answer
    x = 245,602.15

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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.