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Finding the Third Proportional to 104,508 and 160,136

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Solution

The third proportional to 104,508 and 160,136 is: 245,373.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,508 : 160,136 = 160,136 : x
  2. Step 2: Convert to fraction form
    104,508/160,136 = 160,136/x
  3. Step 3: Cross multiply
    104,508x = 160,136 × 160,136
  4. Step 4: Simplify right side
    104,508x = 25,643,538,496
  5. Step 5: Solve for x
    x = 25,643,538,496/104,508
  6. Step 6: Final answer
    x = 245,373.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.