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Finding the Third Proportional to 52,959.50 and 116,581

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Solution

The third proportional to 52,959.50 and 116,581 is: 256,632.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,959.50 : 116,581 = 116,581 : x
  2. Step 2: Convert to fraction form
    52,959.50/116,581 = 116,581/x
  3. Step 3: Cross multiply
    52,959.50x = 116,581 × 116,581
  4. Step 4: Simplify right side
    52,959.50x = 13,591,129,561
  5. Step 5: Solve for x
    x = 13,591,129,561/52,959.50
  6. Step 6: Final answer
    x = 256,632.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.