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Finding the Third Proportional to 114,957 and 168,061

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Solution

The third proportional to 114,957 and 168,061 is: 245,696.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,957 : 168,061 = 168,061 : x
  2. Step 2: Convert to fraction form
    114,957/168,061 = 168,061/x
  3. Step 3: Cross multiply
    114,957x = 168,061 × 168,061
  4. Step 4: Simplify right side
    114,957x = 28,244,499,721
  5. Step 5: Solve for x
    x = 28,244,499,721/114,957
  6. Step 6: Final answer
    x = 245,696.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.