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Finding the Third Proportional to 102,606.75 and 237,745.13

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Solution

The third proportional to 102,606.75 and 237,745.13 is: 550,867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,606.75 : 237,745.13 = 237,745.13 : x
  2. Step 2: Convert to fraction form
    102,606.75/237,745.13 = 237,745.13/x
  3. Step 3: Cross multiply
    102,606.75x = 237,745.13 × 237,745.13
  4. Step 4: Simplify right side
    102,606.75x = 56,522,744,461.27
  5. Step 5: Solve for x
    x = 56,522,744,461.27/102,606.75
  6. Step 6: Final answer
    x = 550,867.70

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.