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Finding the Third Proportional to 51,856.50 and 113,757

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Solution

The third proportional to 51,856.50 and 113,757 is: 249,547.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,856.50 : 113,757 = 113,757 : x
  2. Step 2: Convert to fraction form
    51,856.50/113,757 = 113,757/x
  3. Step 3: Cross multiply
    51,856.50x = 113,757 × 113,757
  4. Step 4: Simplify right side
    51,856.50x = 12,940,655,049
  5. Step 5: Solve for x
    x = 12,940,655,049/51,856.50
  6. Step 6: Final answer
    x = 249,547.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.