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Finding the Third Proportional to 59,760.28 and 130,387.22

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Solution

The third proportional to 59,760.28 and 130,387.22 is: 284,483.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,760.28 : 130,387.22 = 130,387.22 : x
  2. Step 2: Convert to fraction form
    59,760.28/130,387.22 = 130,387.22/x
  3. Step 3: Cross multiply
    59,760.28x = 130,387.22 × 130,387.22
  4. Step 4: Simplify right side
    59,760.28x = 17,000,826,813.36
  5. Step 5: Solve for x
    x = 17,000,826,813.36/59,760.28
  6. Step 6: Final answer
    x = 284,483.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.