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Finding the Third Proportional to 51,136.08 and 112,423.33

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Solution

The third proportional to 51,136.08 and 112,423.33 is: 247,164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,136.08 : 112,423.33 = 112,423.33 : x
  2. Step 2: Convert to fraction form
    51,136.08/112,423.33 = 112,423.33/x
  3. Step 3: Cross multiply
    51,136.08x = 112,423.33 × 112,423.33
  4. Step 4: Simplify right side
    51,136.08x = 12,639,005,804.58
  5. Step 5: Solve for x
    x = 12,639,005,804.58/51,136.08
  6. Step 6: Final answer
    x = 247,164.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.