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Finding the Third Proportional to 70,265 and 165,864

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Solution

The third proportional to 70,265 and 165,864 is: 391,530.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,265 : 165,864 = 165,864 : x
  2. Step 2: Convert to fraction form
    70,265/165,864 = 165,864/x
  3. Step 3: Cross multiply
    70,265x = 165,864 × 165,864
  4. Step 4: Simplify right side
    70,265x = 27,510,866,496
  5. Step 5: Solve for x
    x = 27,510,866,496/70,265
  6. Step 6: Final answer
    x = 391,530.16

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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.