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Finding the Third Proportional to 52,535.25 and 116,734.50

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Solution

The third proportional to 52,535.25 and 116,734.50 is: 259,386.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,535.25 : 116,734.50 = 116,734.50 : x
  2. Step 2: Convert to fraction form
    52,535.25/116,734.50 = 116,734.50/x
  3. Step 3: Cross multiply
    52,535.25x = 116,734.50 × 116,734.50
  4. Step 4: Simplify right side
    52,535.25x = 13,626,943,490.25
  5. Step 5: Solve for x
    x = 13,626,943,490.25/52,535.25
  6. Step 6: Final answer
    x = 259,386.67

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.