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Finding the Third Proportional to 53,884 and 117,095

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Solution

The third proportional to 53,884 and 117,095 is: 254,458.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,884 : 117,095 = 117,095 : x
  2. Step 2: Convert to fraction form
    53,884/117,095 = 117,095/x
  3. Step 3: Cross multiply
    53,884x = 117,095 × 117,095
  4. Step 4: Simplify right side
    53,884x = 13,711,239,025
  5. Step 5: Solve for x
    x = 13,711,239,025/53,884
  6. Step 6: Final answer
    x = 254,458.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.