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Finding the Third Proportional to 36,506 and 78,838

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Solution

The third proportional to 36,506 and 78,838 is: 170,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,506 : 78,838 = 78,838 : x
  2. Step 2: Convert to fraction form
    36,506/78,838 = 78,838/x
  3. Step 3: Cross multiply
    36,506x = 78,838 × 78,838
  4. Step 4: Simplify right side
    36,506x = 6,215,430,244
  5. Step 5: Solve for x
    x = 6,215,430,244/36,506
  6. Step 6: Final answer
    x = 170,257.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.