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Finding the Third Proportional to 59,240 and 139,844

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Solution

The third proportional to 59,240 and 139,844 is: 330,120.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,240 : 139,844 = 139,844 : x
  2. Step 2: Convert to fraction form
    59,240/139,844 = 139,844/x
  3. Step 3: Cross multiply
    59,240x = 139,844 × 139,844
  4. Step 4: Simplify right side
    59,240x = 19,556,344,336
  5. Step 5: Solve for x
    x = 19,556,344,336/59,240
  6. Step 6: Final answer
    x = 330,120.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.