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Finding the Third Proportional to 114,718 and 168,687

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Solution

The third proportional to 114,718 and 168,687 is: 248,045.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,718 : 168,687 = 168,687 : x
  2. Step 2: Convert to fraction form
    114,718/168,687 = 168,687/x
  3. Step 3: Cross multiply
    114,718x = 168,687 × 168,687
  4. Step 4: Simplify right side
    114,718x = 28,455,303,969
  5. Step 5: Solve for x
    x = 28,455,303,969/114,718
  6. Step 6: Final answer
    x = 248,045.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.