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Finding the Third Proportional to 59,265 and 128,412

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Solution

The third proportional to 59,265 and 128,412 is: 278,235.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,265 : 128,412 = 128,412 : x
  2. Step 2: Convert to fraction form
    59,265/128,412 = 128,412/x
  3. Step 3: Cross multiply
    59,265x = 128,412 × 128,412
  4. Step 4: Simplify right side
    59,265x = 16,489,641,744
  5. Step 5: Solve for x
    x = 16,489,641,744/59,265
  6. Step 6: Final answer
    x = 278,235.75

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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.