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Finding the Third Proportional to 72,228 and 111,618

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Solution

The third proportional to 72,228 and 111,618 is: 172,489.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,228 : 111,618 = 111,618 : x
  2. Step 2: Convert to fraction form
    72,228/111,618 = 111,618/x
  3. Step 3: Cross multiply
    72,228x = 111,618 × 111,618
  4. Step 4: Simplify right side
    72,228x = 12,458,577,924
  5. Step 5: Solve for x
    x = 12,458,577,924/72,228
  6. Step 6: Final answer
    x = 172,489.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.