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Finding the Third Proportional to 73,895 and 111,618

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Solution

The third proportional to 73,895 and 111,618 is: 168,598.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,895 : 111,618 = 111,618 : x
  2. Step 2: Convert to fraction form
    73,895/111,618 = 111,618/x
  3. Step 3: Cross multiply
    73,895x = 111,618 × 111,618
  4. Step 4: Simplify right side
    73,895x = 12,458,577,924
  5. Step 5: Solve for x
    x = 12,458,577,924/73,895
  6. Step 6: Final answer
    x = 168,598.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.