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Finding the Third Proportional to 53,670 and 117,092

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Solution

The third proportional to 53,670 and 117,092 is: 255,459.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,670 : 117,092 = 117,092 : x
  2. Step 2: Convert to fraction form
    53,670/117,092 = 117,092/x
  3. Step 3: Cross multiply
    53,670x = 117,092 × 117,092
  4. Step 4: Simplify right side
    53,670x = 13,710,536,464
  5. Step 5: Solve for x
    x = 13,710,536,464/53,670
  6. Step 6: Final answer
    x = 255,459.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.