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Finding the Third Proportional to 51,547.50 and 111,519

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Solution

The third proportional to 51,547.50 and 111,519 is: 241,262.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,547.50 : 111,519 = 111,519 : x
  2. Step 2: Convert to fraction form
    51,547.50/111,519 = 111,519/x
  3. Step 3: Cross multiply
    51,547.50x = 111,519 × 111,519
  4. Step 4: Simplify right side
    51,547.50x = 12,436,487,361
  5. Step 5: Solve for x
    x = 12,436,487,361/51,547.50
  6. Step 6: Final answer
    x = 241,262.67

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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.