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Finding the Third Proportional to 42,618 and 89,729

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Solution

The third proportional to 42,618 and 89,729 is: 188,917.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,618 : 89,729 = 89,729 : x
  2. Step 2: Convert to fraction form
    42,618/89,729 = 89,729/x
  3. Step 3: Cross multiply
    42,618x = 89,729 × 89,729
  4. Step 4: Simplify right side
    42,618x = 8,051,293,441
  5. Step 5: Solve for x
    x = 8,051,293,441/42,618
  6. Step 6: Final answer
    x = 188,917.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.