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Finding the Third Proportional to 53,932 and 118,600

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Solution

The third proportional to 53,932 and 118,600 is: 260,809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,932 : 118,600 = 118,600 : x
  2. Step 2: Convert to fraction form
    53,932/118,600 = 118,600/x
  3. Step 3: Cross multiply
    53,932x = 118,600 × 118,600
  4. Step 4: Simplify right side
    53,932x = 14,065,960,000
  5. Step 5: Solve for x
    x = 14,065,960,000/53,932
  6. Step 6: Final answer
    x = 260,809.17

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Why These Related Problems?

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