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Finding the Third Proportional to 53,817 and 118,002

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Solution

The third proportional to 53,817 and 118,002 is: 258,737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,817 : 118,002 = 118,002 : x
  2. Step 2: Convert to fraction form
    53,817/118,002 = 118,002/x
  3. Step 3: Cross multiply
    53,817x = 118,002 × 118,002
  4. Step 4: Simplify right side
    53,817x = 13,924,472,004
  5. Step 5: Solve for x
    x = 13,924,472,004/53,817
  6. Step 6: Final answer
    x = 258,737.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.