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Finding the Third Proportional to 65,535 and 154,057

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Solution

The third proportional to 65,535 and 154,057 is: 362,150.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,535 : 154,057 = 154,057 : x
  2. Step 2: Convert to fraction form
    65,535/154,057 = 154,057/x
  3. Step 3: Cross multiply
    65,535x = 154,057 × 154,057
  4. Step 4: Simplify right side
    65,535x = 23,733,559,249
  5. Step 5: Solve for x
    x = 23,733,559,249/65,535
  6. Step 6: Final answer
    x = 362,150.90

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.