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Finding the Third Proportional to 57,970.69 and 123,535.13

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Solution

The third proportional to 57,970.69 and 123,535.13 is: 263,252.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,970.69 : 123,535.13 = 123,535.13 : x
  2. Step 2: Convert to fraction form
    57,970.69/123,535.13 = 123,535.13/x
  3. Step 3: Cross multiply
    57,970.69x = 123,535.13 × 123,535.13
  4. Step 4: Simplify right side
    57,970.69x = 15,260,927,108.77
  5. Step 5: Solve for x
    x = 15,260,927,108.77/57,970.69
  6. Step 6: Final answer
    x = 263,252.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.