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Finding the Third Proportional to 63,838 and 135,746

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Solution

The third proportional to 63,838 and 135,746 is: 288,652.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,838 : 135,746 = 135,746 : x
  2. Step 2: Convert to fraction form
    63,838/135,746 = 135,746/x
  3. Step 3: Cross multiply
    63,838x = 135,746 × 135,746
  4. Step 4: Simplify right side
    63,838x = 18,426,976,516
  5. Step 5: Solve for x
    x = 18,426,976,516/63,838
  6. Step 6: Final answer
    x = 288,652.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.