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Finding the Third Proportional to 114,956 and 168,057

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Solution

The third proportional to 114,956 and 168,057 is: 245,686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,956 : 168,057 = 168,057 : x
  2. Step 2: Convert to fraction form
    114,956/168,057 = 168,057/x
  3. Step 3: Cross multiply
    114,956x = 168,057 × 168,057
  4. Step 4: Simplify right side
    114,956x = 28,243,155,249
  5. Step 5: Solve for x
    x = 28,243,155,249/114,956
  6. Step 6: Final answer
    x = 245,686.66

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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.