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Finding the Third Proportional to 86,265 and 192,618

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Solution

The third proportional to 86,265 and 192,618 is: 430,089.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,265 : 192,618 = 192,618 : x
  2. Step 2: Convert to fraction form
    86,265/192,618 = 192,618/x
  3. Step 3: Cross multiply
    86,265x = 192,618 × 192,618
  4. Step 4: Simplify right side
    86,265x = 37,101,693,924
  5. Step 5: Solve for x
    x = 37,101,693,924/86,265
  6. Step 6: Final answer
    x = 430,089.77

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.