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Finding the Third Proportional to 69,386 and 163,741

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Solution

The third proportional to 69,386 and 163,741 is: 386,405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,386 : 163,741 = 163,741 : x
  2. Step 2: Convert to fraction form
    69,386/163,741 = 163,741/x
  3. Step 3: Cross multiply
    69,386x = 163,741 × 163,741
  4. Step 4: Simplify right side
    69,386x = 26,811,115,081
  5. Step 5: Solve for x
    x = 26,811,115,081/69,386
  6. Step 6: Final answer
    x = 386,405.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.