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Finding the Third Proportional to 114,729 and 168,717

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Solution

The third proportional to 114,729 and 168,717 is: 248,110.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,729 : 168,717 = 168,717 : x
  2. Step 2: Convert to fraction form
    114,729/168,717 = 168,717/x
  3. Step 3: Cross multiply
    114,729x = 168,717 × 168,717
  4. Step 4: Simplify right side
    114,729x = 28,465,426,089
  5. Step 5: Solve for x
    x = 28,465,426,089/114,729
  6. Step 6: Final answer
    x = 248,110.12

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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.