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Finding the Third Proportional to 53,042 and 117,124

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Solution

The third proportional to 53,042 and 117,124 is: 258,625.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,042 : 117,124 = 117,124 : x
  2. Step 2: Convert to fraction form
    53,042/117,124 = 117,124/x
  3. Step 3: Cross multiply
    53,042x = 117,124 × 117,124
  4. Step 4: Simplify right side
    53,042x = 13,718,031,376
  5. Step 5: Solve for x
    x = 13,718,031,376/53,042
  6. Step 6: Final answer
    x = 258,625.83

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.