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Finding the Third Proportional to 119,136 and 174,816

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Solution

The third proportional to 119,136 and 174,816 is: 256,518.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,136 : 174,816 = 174,816 : x
  2. Step 2: Convert to fraction form
    119,136/174,816 = 174,816/x
  3. Step 3: Cross multiply
    119,136x = 174,816 × 174,816
  4. Step 4: Simplify right side
    119,136x = 30,560,633,856
  5. Step 5: Solve for x
    x = 30,560,633,856/119,136
  6. Step 6: Final answer
    x = 256,518.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.