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Finding the Third Proportional to 65,426 and 100,704

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Solution

The third proportional to 65,426 and 100,704 is: 155,004.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,426 : 100,704 = 100,704 : x
  2. Step 2: Convert to fraction form
    65,426/100,704 = 100,704/x
  3. Step 3: Cross multiply
    65,426x = 100,704 × 100,704
  4. Step 4: Simplify right side
    65,426x = 10,141,295,616
  5. Step 5: Solve for x
    x = 10,141,295,616/65,426
  6. Step 6: Final answer
    x = 155,004.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.