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Finding the Third Proportional to 122,580 and 192,618

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Solution

The third proportional to 122,580 and 192,618 is: 302,673.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,580 : 192,618 = 192,618 : x
  2. Step 2: Convert to fraction form
    122,580/192,618 = 192,618/x
  3. Step 3: Cross multiply
    122,580x = 192,618 × 192,618
  4. Step 4: Simplify right side
    122,580x = 37,101,693,924
  5. Step 5: Solve for x
    x = 37,101,693,924/122,580
  6. Step 6: Final answer
    x = 302,673.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.