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Finding the Third Proportional to 53,716 and 117,061

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Solution

The third proportional to 53,716 and 117,061 is: 255,106.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,716 : 117,061 = 117,061 : x
  2. Step 2: Convert to fraction form
    53,716/117,061 = 117,061/x
  3. Step 3: Cross multiply
    53,716x = 117,061 × 117,061
  4. Step 4: Simplify right side
    53,716x = 13,703,277,721
  5. Step 5: Solve for x
    x = 13,703,277,721/53,716
  6. Step 6: Final answer
    x = 255,106.07

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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.