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Finding the Third Proportional to 103,704 and 160,136

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Solution

The third proportional to 103,704 and 160,136 is: 247,276.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,704 : 160,136 = 160,136 : x
  2. Step 2: Convert to fraction form
    103,704/160,136 = 160,136/x
  3. Step 3: Cross multiply
    103,704x = 160,136 × 160,136
  4. Step 4: Simplify right side
    103,704x = 25,643,538,496
  5. Step 5: Solve for x
    x = 25,643,538,496/103,704
  6. Step 6: Final answer
    x = 247,276.27

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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.