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Finding the Third Proportional to 52,785 and 113,852.25

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Solution

The third proportional to 52,785 and 113,852.25 is: 245,568.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,785 : 113,852.25 = 113,852.25 : x
  2. Step 2: Convert to fraction form
    52,785/113,852.25 = 113,852.25/x
  3. Step 3: Cross multiply
    52,785x = 113,852.25 × 113,852.25
  4. Step 4: Simplify right side
    52,785x = 12,962,334,830.06
  5. Step 5: Solve for x
    x = 12,962,334,830.06/52,785
  6. Step 6: Final answer
    x = 245,568.53

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