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Finding the Third Proportional to 114,953 and 168,055

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Solution

The third proportional to 114,953 and 168,055 is: 245,687.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,953 : 168,055 = 168,055 : x
  2. Step 2: Convert to fraction form
    114,953/168,055 = 168,055/x
  3. Step 3: Cross multiply
    114,953x = 168,055 × 168,055
  4. Step 4: Simplify right side
    114,953x = 28,242,483,025
  5. Step 5: Solve for x
    x = 28,242,483,025/114,953
  6. Step 6: Final answer
    x = 245,687.22

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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.