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Finding the Third Proportional to 59,175 and 128,556

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Solution

The third proportional to 59,175 and 128,556 is: 279,284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,175 : 128,556 = 128,556 : x
  2. Step 2: Convert to fraction form
    59,175/128,556 = 128,556/x
  3. Step 3: Cross multiply
    59,175x = 128,556 × 128,556
  4. Step 4: Simplify right side
    59,175x = 16,526,645,136
  5. Step 5: Solve for x
    x = 16,526,645,136/59,175
  6. Step 6: Final answer
    x = 279,284.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.