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Finding the Third Proportional to 122,568 and 168,784

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Solution

The third proportional to 122,568 and 168,784 is: 232,426.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,568 : 168,784 = 168,784 : x
  2. Step 2: Convert to fraction form
    122,568/168,784 = 168,784/x
  3. Step 3: Cross multiply
    122,568x = 168,784 × 168,784
  4. Step 4: Simplify right side
    122,568x = 28,488,038,656
  5. Step 5: Solve for x
    x = 28,488,038,656/122,568
  6. Step 6: Final answer
    x = 232,426.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.