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Finding the Third Proportional to 53,435 and 114,731

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Solution

The third proportional to 53,435 and 114,731 is: 246,340.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,435 : 114,731 = 114,731 : x
  2. Step 2: Convert to fraction form
    53,435/114,731 = 114,731/x
  3. Step 3: Cross multiply
    53,435x = 114,731 × 114,731
  4. Step 4: Simplify right side
    53,435x = 13,163,202,361
  5. Step 5: Solve for x
    x = 13,163,202,361/53,435
  6. Step 6: Final answer
    x = 246,340.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.